A packaging and applicator device, comprising: - an applicator for applying a composition to the eyelashes or the eyebrows, comprising: • a core that extends along a longitudinal axis and that presents a plurality of longitudinal faces; and • a single row of teeth that extend from each of at least two longitudinal faces of the core, in particular from each longitudinal face of the core, the single row of teeth comprising a succession of teeth following one another when one progresses along the core, the bases of the teeth of a row being aligned or arranged in a staggered row, consecutive teeth of the row being offset at least partially, or even completely, alternating on either side of a geometric separating surface in the case of an arrangement in a staggered row; • at least one first set of first teeth of said row having a surface that is connected obliquely or perpendicularly to the corresponding longitudinal face of the core, and at least one second set of second teeth of said row having a surface that is connected obliquely to the same longitudinal face of the core, when said core is observed along its longitudinal axis, at least one first tooth and at least one second tooth being connected to the corresponding longitudinal face of the core in different directions (Z 1, Z 2), - a receptacle containing the product, at least one first tooth of the first set and at least one second tooth of the second set of each of the two rows having free ends (18a, 18b) that are situated at different distances from the longitudinal axis of the core. - an applicator for applying a composition to the eyelashes or the eyebrows, comprising: • a core that extends along a longitudinal axis and that presents a plurality of longitudinal faces; and • a single row of teeth that extend from each of at least two longitudinal faces of the core, in particular from each longitudinal face of the core, the single row of teeth comprising a succession of teeth following one another when one progresses along the core, the bases of the teeth of a row being aligned or arranged in a staggered row, consecutive teeth of the row being offset at least partially, or even completely, alternating on either side of a geometric separating surface in the case of an arrangement in a staggered row; • at least one first set of first teeth of said row having a surface that is connected obliquely or perpendicularly to the corresponding longitudinal face of the core, and at least one second set of second teeth of said row having a surface that is connected obliquely to the same longitudinal face of the core, when said core is observed along its longitudinal axis, at least one first tooth and at least one second tooth being connected to the corresponding longitudinal face of the core in different directions (Z 1, Z 2), • a core that extends along a longitudinal axis and that presents a plurality of longitudinal faces; and • a single row of teeth that extend from each of at least two longitudinal faces of the core, in particular from each longitudinal face of the core, the single row of teeth comprising a succession of teeth following one another when one progresses along the core, the bases of the teeth of a row being aligned or arranged in a staggered row, consecutive teeth of the row being offset at least partially, or even completely, alternating on either side of a geometric separating surface in the case of an arrangement in a staggered row; • at least one first set of first teeth of said row having a surface that is connected obliquely or perpendicularly to the corresponding longitudinal face of the core, and at least one second set of second teeth of said row having a surface that is connected obliquely to the same longitudinal face of the core, when said core is observed along its longitudinal axis, at least one first tooth and at least one second tooth being connected to the corresponding longitudinal face of the core in different directions (Z 1, Z 2), - a receptacle containing the product,