The head of the penis (glans) has a covering, called the foreskin (prepuce). This covering folds in When the penis is not erect, it tightens to narrow the foreskin opening. During erection . Care of the Uncircumcised Penis. Evanston, Ill.: AAP. Mar 28, - Uncircumcised (Uncut): A foreskin can make your penis look slightly bulkier when it's flaccid. During an erection, the foreskin retracts and.