Major universities (especially state ones, but the ivy leagues are not exempt) are also huge employers to the point of being wasteful. Apart from just instructors there are janitors, building maintenance, food service workers, retail workers, groundskeepers, security, and that's just off the top of my head. If the university has highly specialized equipment (like medical tech or a cyclotron) well guess what? That shit also needs to be maintained, and Jorge the Mop-Pusher ain't to be trusted with that.
The dorm system (which many universities keep viable by mandating students utilize it) is a tremendous grift in and of itself.