This was the first in the "Dexter Riley" movies, a trilogy of three high-concept Disney fantasy-comedies starring Kurt Russell as Dexter, with Joe Flynn and Cesar Romero. These films were set in Medfield College where a scientific breakthrough would lead to hijinks. They were The Computer Wore Tennis Shoes (1969) (robotics / human computers), Now You See Him, Now You Don't (1972) (invisibility) and The Strongest Man in the World (1975) (super-strength).
The "campus" shown outside the window of the Dean's office is actually a photograph of buildings in the Walt Disney Studios. This very same backdrop was used during the run of the "Disneyland" television show for scenes shot on the set that served as Walt Disney's "office" when he hosted segments of the program. One oddity is that the building seen in the backdrop was actually the one that housed the real location of Walt's office.
The name of the educational institution was "Medfield College". The campus setting also featured in other Disney films such as this movie's sequels Now You See Him, Now You Don't (1972) and The Strongest Man in the World (1975) as well as the earlier The Absent Minded Professor (1961) and its sequel Son of Flubber (1962).
Kurt Russell gets to star with his real-life father Bing Russell in this film. Bing plays one of gangster Cesar Romero's henchmen.
Sight gag: When A.J. Arno opens his secret door, his copy of the famous painting Whistler's Mother splits in two along with the door. But as Whistler's mother slides to the left, the chair she was sitting on, which cannot be seen in the original painting, appears in full from underneath her.