Doug McDermott added 16 points, Jahenns Manigat had 13 and Grant Gibbs 10 for the Bluejays (15-1, 4-0 Missouri Valley Conference), who won their ninth straight game.
Creighton has won 71 straight against opponents .500 or worse, and it was apparent early that the streak was in no jeopardy. The Bluejays, who made a season-high 16 3-pointers, led by 30 points in the first half and by 35 late in the second.
Joey King scored 17 points and Jordan Clarke and Micah Mason had 11 apiece for Drake (6-9, 0-4).
Wragge, who had been averaging 9.0 points a game, went over 20 for the second time in three games.
McDermott made his first six shots, scored 14 points in the first 11 minutes and took only two more shots. He added three assists and a team-high seven rebounds.
Austin Chatman had nine assists, and the Bluejays finished with a season-best 28 on 34 field goals.
Creighton's fast start kept the crowd of 18,073, the program's fourth-largest ever, subdued for most of the night.
The Bluejays came in leading the country with 9.5 3-pointers a game. They had nine on 12 attempts in the first 15 minutes.
Gibbs, McDermott, Manigat, Wragge and Avery Dingman each made one in the opening 7 minutes to help the Bluejays break out to a 25-4 lead.
Wragge's third 3-pointer made it a 30-point game with 6 minutes left in the half, and it was 49-25 at halftime.
Drake, shooting just under 25 percent from 3-point range in its previous three games, started 1 for 10 from beyond the arc and finished 9 of 28. The Bulldogs shot 28 percent in the first half and 36 percent for the game.
Creighton shot 68 percent in the first half, 64 percent for the game and outrebounded Drake 40-22.
Gregory Echenique had dunked an alley-oop pass for a second straight game for his only two points. Will Artino also slammed a lob pass from Chatman for his first dunk of the season.
Wragge, the 3-point specialist, showed some rare inside moves. He cut to the hoop to take entry passes from McDermott for only his third and fourth 2-point field goals of the season.