72976792 has 32 divisors (see below), whose sum is σ = 163180800. Its totient is φ = 29915424.

The previous prime is 72976781. The next prime is 72976793. The reversal of 72976792 is 29767927.

It is a super-2 number, since 2×72976792² = 10651224341222528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72976793) 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, 27042 + ... + 29617.

It is an arithmetic number, because the mean of its divisors is an integer number (5099400).

Almost surely, 2^72976792 is an apocalyptic number.

It is an amenable number.

72976792 is an abundant number, since it is smaller than the sum of its proper divisors (90204008).

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

72976792 is a wasteful number, since it uses less digits than its factorization.

72976792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56695 (or 56691 counting only the distinct ones).

The product of its digits is 666792, while the sum is 49.

The square root of 72976792 is about 8542.6454918836. The cubic root of 72976792 is about 417.8896253986.

The spelling of 72976792 in words is "seventy-two million, nine hundred seventy-six thousand, seven hundred ninety-two".