The two guards each made 4 of 7 from 3-point range. The Terriers (16-11, 10-4 America East Conference), who have won five straight, made 10 of 25 behind the arc to 3 of 15 for the Great Danes (19-9, 8-6).
Papale started the second half with a pair of jumpers to increase a 32-30 halftime lead to six points. Maurice Watson Jr. followed with two more baskets for a 40-30 lead.
Albany got within five points on several occasions, but layups by Watson and Dom Morris made it 66-57 with 4:04 remaining.
Morris finished with 16 points and nine rebounds, and Watson had 11 points and 10 assists.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.