Generally speaking, bankruptcy can be a fairly private matter. Of course, those directly impacted by your debts will typically be notified, such as:
Your creditors
Those involved in the case (your lawyer, bankruptcy trustee, and others present at the bankruptcy court proceedings)
Co-signers (if you have discharged a debt that was co-signed, the other individual will be notified)
Future employers (if a potential employer runs a background credit check, they will see that there is a bankruptcy on your record, but you cannot be denied employment solely because of bankruptcy)
Future landlords (a prospective landlord can run a credit check and deny you because of bankruptcy)