72765992 has 48 divisors (see below), whose sum is σ = 149415840. Its totient is φ = 33204288.

The previous prime is 72765989. The next prime is 72766003. The reversal of 72765992 is 29956727.

It is a happy number.

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, 144413 + ... + 144915.

It is an arithmetic number, because the mean of its divisors is an integer number (3112830).

Almost surely, 2^72765992 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 72765992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74707920).

72765992 is an abundant number, since it is smaller than the sum of its proper divisors (76649848).

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

72765992 is a wasteful number, since it uses less digits than its factorization.

72765992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its digits is 476280, while the sum is 47.

The square root of 72765992 is about 8530.2984707453. The cubic root of 72765992 is about 417.4868668105.

The spelling of 72765992 in words is "seventy-two million, seven hundred sixty-five thousand, nine hundred ninety-two".