# Square Root Everywhere

Computer Science Level pending

In his dream, Chris wrote a function in Python, which takes a positive integer as the parameter.

 1 2 3 4 5 6 7 def func(n): if n == 1: return 1 val = 0 for i in range(int(sqrt(n))): val += func(int(sqrt(n))) return val 

How many distinct inputs $$n$$ are there such that this function returns 627372?

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