72992680 has 32 divisors (see below), whose sum is σ = 172879200. Its totient is φ = 27660096.

The previous prime is 72992677. The next prime is 72992687. The reversal of 72992680 is 8629927.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72992687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47262 + ... + 48781.

It is an arithmetic number, because the mean of its divisors is an integer number (5402475).

Almost surely, 2^72992680 is an apocalyptic number.

It is an amenable number.

72992680 is an abundant number, since it is smaller than the sum of its proper divisors (99886520).

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

72992680 is a wasteful number, since it uses less digits than its factorization.

72992680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96073 (or 96069 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 72992680 is about 8543.5753639796. The cubic root of 72992680 is about 417.9199498730.

The spelling of 72992680 in words is "seventy-two million, nine hundred ninety-two thousand, six hundred eighty".