Penn jumped out to an early lead and was ahead 40-34 at the half. Binghamton's Nick Madray made two straight 3-pointers to pull to 50-47 with 14:39 remaining. The Quakers pulled away again until Dusan Pervoic drove for a layup and Yosef Yacob added two free throws to close to 69-66 with 5:36 left. Hicks and Nelson-Henry answered with a layup apiece to stretch the lead to 73-66.
Penn grabbed 43 rebounds while limiting the Bearcats to 30 boards.
Perovic had 16 points and Willie Rodriguez added 13 for the Bearcats.