I don't believe there's an out of the box system notification. Fusion could answer that pretty easily, if your org uses Fusion, and the e-mail notification is essential. I suggest having a User Maintenance Dashboard, with reports like "New Users Today" or "New Users This Week", along with "Paid Users Not Logged in > 30 days" and "User Maintenance Queue" (presuming you have a request queue for profile updates).
Basically, a report to surface every scenario in which you want to take action on a user profile. William English T-Mobile
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