72990864 has 120 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 23143680.

The previous prime is 72990829. The next prime is 72990871. The reversal of 72990864 is 46809927.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370414 + ... + 370610.

Almost surely, 2^72990864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72990864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

72990864 is an abundant number, since it is smaller than the sum of its proper divisors (141495408).

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

72990864 is a wasteful number, since it uses less digits than its factorization.

72990864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 72990864 is about 8543.4690846283. The cubic root of 72990864 is about 417.9164840053.

The spelling of 72990864 in words is "seventy-two million, nine hundred ninety thousand, eight hundred sixty-four".