72017936 has 20 divisors (see below), whose sum is σ = 139755564. Its totient is φ = 35952000.

The previous prime is 72017921. The next prime is 72017963. The reversal of 72017936 is 63971027.

It can be written as a sum of positive squares in 2 ways, for example, as 42250000 + 29767936 = 6500^2 + 5456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72017896 and 72017905.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8006 + ... + 14426.

Almost surely, 2^72017936 is an apocalyptic number.

It is an amenable number.

72017936 is a deficient number, since it is larger than the sum of its proper divisors (67737628).

72017936 is a wasteful number, since it uses less digits than its factorization.

72017936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 72017936 is about 8486.3381973617. The cubic root of 72017936 is about 416.0513065418.

The spelling of 72017936 in words is "seventy-two million, seventeen thousand, nine hundred thirty-six".