72988586896 has 135 divisors (see below), whose sum is σ = 156725927449. Its totient is φ = 32921104384.

The previous prime is 72988586873. The next prime is 72988586911. The reversal of 72988586896 is 69868588927.

The square root of 72988586896 is 270164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 9927332496 + 63061254400 = 99636^2 + 251120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 532763340 + ... + 532763476.

Almost surely, 2^72988586896 is an apocalyptic number.

72988586896 is the 270164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72988586896

72988586896 is an abundant number, since it is smaller than the sum of its proper divisors (83737340553).

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

72988586896 is a wasteful number, since it uses less digits than its factorization.

72988586896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 185 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 76.

The spelling of 72988586896 in words is "seventy-two billion, nine hundred eighty-eight million, five hundred eighty-six thousand, eight hundred ninety-six".