72982916 has 24 divisors (see below), whose sum is σ = 131738880. Its totient is φ = 35358912.

The previous prime is 72982909. The next prime is 72982939. The reversal of 72982916 is 61928927.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17480 + ... + 21248.

It is an arithmetic number, because the mean of its divisors is an integer number (5489120).

Almost surely, 2^72982916 is an apocalyptic number.

It is an amenable number.

72982916 is a deficient number, since it is larger than the sum of its proper divisors (58755964).

72982916 is a wasteful number, since it uses less digits than its factorization.

72982916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3921 counting only the distinct ones).

The product of its digits is 108864, while the sum is 44.

The square root of 72982916 is about 8543.0039213382. The cubic root of 72982916 is about 417.9013144320.

The spelling of 72982916 in words is "seventy-two million, nine hundred eighty-two thousand, nine hundred sixteen".