A process for producing a water-absorbing polymer composition, comprising the process steps of (i) mixing (α1) 0.1 to 99.999% by weight, preferably 20 to 98.99% by weight and more preferably 30 to 98.95% by weight of polymerizable, ethylenically unsaturated monomers containing acid groups, or salts thereof, or polymerizable, ethylenically unsaturated monomers including a protonated or quaternized nitrogen, or mixtures thereof, particular preference being given to mixtures including at least ethylenically unsaturated monomers containing acid groups, preferably acrylic acid, (α2) 0 to 70% by weight, preferably 1 to 60% by weight and more preferably 1 to 40% by weight of polymerizable, ethylenically unsaturated monomers copolymerizable with (α1), (α3) 0.001 to 10% by weight, preferably 0.01 to 7% by weight and more preferably 0.05 to 5% by weight of one or more crosslinkers, (α4) 0 to 30% by weight, preferably 1 to 20% by weight and more preferably 5 to 10% by weight of water-soluble polymers, and (α5) 0 to 20% by weight, preferably 0.01 to 7% by weight and more preferably 0.05 to 5% by weight of one or more assistants, where the sum of the weights of (α1) to (α5) is 100% by weight, (ii) free-radical polymerization with crosslinking to form a water-insoluble, aqueous untreated hydrogel polymer, (iii) drying the hydrogel polymer, (iv) grinding and sieving the hydrogel polymer to size (v) surface postcrosslinking the ground and sieved hydrogel polymer and (vi) drying and finishing the water-absorbing polymer, wherein 0.01 to 5% by weight, preferably 0.02 to 2% by weight and more preferably 0.07 to 1% by weight of a blowing agent having a particle size of 10 μm to 900 μm are added, based on the hydrogel polymer, optionally 0.01 to 5% by weight, preferably 0.02 to 2% by weight and more preferably 0.07 to 1% by weight of at least one surfactant from the group of the nonionic, ionic or amphoteric surfactants, and in steps (ii) to (v) additionally at least one acidic compound is added, characterized in that the surfactant is formed from at least one ethylene glycol unit and from at least one further alkylene glycol unit which is different from the ethylene glycol unit and has 3 to 6 carbon atoms, and in that at least one acidic compound from the group of acetic anhydride, maleic anhydride, fumaric anhydride, benzoic acid, formic acid, valeric acid, citric acid, glyoxylic acid, glycolic acid, glycerophosphoric acid, glutaric acid, chloroacetic acid, chloropropionic acid, cinnamic acid, succinic acid, acetic acid, tartaric acid, lactic acid, pyruvic acid, fumaric acid, propionic acid, 3-hydroxypropionic acid, malonic acid, butyric acid, isobutyric acid, imidinoacetic acid, malic acid, isethionic acid, methylmaleic acid, adipic acid, itaconic acid, crotonic acid, oxalic acid, salicylic acid, gluconic acid, gallic acid, sorbic acid, gluconic acid and p-hydroxybenzoic acid, tartaric acid, acid anhydrides, for instance P 2 O 5, SO 2, N 2 O, H 2 SO 4 or HCl, mixtures of these or salts thereof is added. (i) mixing (α1) 0.1 to 99.999% by weight, preferably 20 to 98.99% by weight and more preferably 30 to 98.95% by weight of polymerizable, ethylenically unsaturated monomers containing acid groups, or salts thereof, or polymerizable, ethylenically unsaturated monomers including a protonated or quaternized nitrogen, or mixtures thereof, particular preference being given to mixtures including at least ethylenically unsaturated monomers containing acid groups, preferably acrylic acid, (α2) 0 to 70% by weight, preferably 1 to 60% by weight and more preferably 1 to 40% by weight of polymerizable, ethylenically unsaturated monomers copolymerizable with (α1), (α3) 0.001 to 10% by weight, preferably 0.01 to 7% by weight and more preferably 0.05 to 5% by weight of one or more crosslinkers, (α4) 0 to 30% by weight, preferably 1 to 20% by weight and more preferably 5 to 10% by weight of water-soluble polymers, and (α5) 0 to 20% by weight, preferably 0.01 to 7% by weight and more preferably 0.05 to 5% by weight of one or more assistants, where the sum of the weights of (α1) to (α5) is 100% by weight, (α1) 0.1 to 99.999% by weight, preferably 20 to 98.99% by weight and more preferably 30 to 98.95% by weight of polymerizable, ethylenically unsaturated monomers containing acid groups, or salts thereof, or polymerizable, ethylenically unsaturated monomers including a protonated or quaternized nitrogen, or mixtures thereof, particular preference being given to mixtures including at least ethylenically unsaturated monomers containing acid groups, preferably acrylic acid, (α2) 0 to 70% by weight, preferably 1 to 60% by weight and more preferably 1 to 40% by weight of polymerizable, ethylenically unsaturated monomers copolymerizable with (α1), (α3) 0.001 to 10% by weight, preferably 0.01 to 7% by weight and more preferably 0.05 to 5% by weight of one or more crosslinkers, (α4) 0 to 30% by weight, preferably 1 to 20% by weight and more preferably 5 to 10% by weight of water-soluble polymers, and (α5) 0 to 20% by weight, preferably 0.01 to 7% by weight and more preferably 0.05 to 5% by weight of one or more assistants, where the sum of the weights of (α1) to (α5) is 100% by weight, (ii) free-radical polymerization with crosslinking to form a water-insoluble, aqueous untreated hydrogel polymer, (iii) drying the hydrogel polymer, (iv) grinding and sieving the hydrogel polymer to size (v) surface postcrosslinking the ground and sieved hydrogel polymer and (vi) drying and finishing the water-absorbing polymer,