72990756 has 36 divisors (see below), whose sum is σ = 185067792. Its totient is φ = 24255984.

The previous prime is 72990727. The next prime is 72990791. The reversal of 72990756 is 65709927.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×72990756² = 10655300922903072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9571 + ... + 15413.

It is an arithmetic number, because the mean of its divisors is an integer number (5140772).

Almost surely, 2^72990756 is an apocalyptic number.

It is an amenable number.

72990756 is an abundant number, since it is smaller than the sum of its proper divisors (112077036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72990756 is a wasteful number, since it uses less digits than its factorization.

72990756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 72990756 is about 8543.4627640085. The cubic root of 72990756 is about 417.9162778836.

The spelling of 72990756 in words is "seventy-two million, nine hundred ninety thousand, seven hundred fifty-six".