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Preoccupy is a verb.
The noun forms of the verb to preoccupy are preoccupationand the gerund, preoccupying.
The noun forms of the verb to preoccupy are preoccupancy, preoccupation, and the gerund, preoccupying.
DIE
Preoccupy means to give someone something to do that will keep them busy. An antonym would be to distract that person.
What do you know? Distract!