72762792 has 32 divisors (see below), whose sum is σ = 184214400. Its totient is φ = 23946624.

The previous prime is 72762743. The next prime is 72762793. The reversal of 72762792 is 29726727.

It is not an unprimeable number, because it can be changed into a prime (72762793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17293 + ... + 21084.

It is an arithmetic number, because the mean of its divisors is an integer number (5756700).

Almost surely, 2^72762792 is an apocalyptic number.

It is an amenable number.

72762792 is an abundant number, since it is smaller than the sum of its proper divisors (111451608).

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

72762792 is a wasteful number, since it uses less digits than its factorization.

72762792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38465 (or 38461 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 72762792 is about 8530.1109019754. The cubic root of 72762792 is about 417.4807468383.

The spelling of 72762792 in words is "seventy-two million, seven hundred sixty-two thousand, seven hundred ninety-two".