72937968 has 40 divisors (see below), whose sum is σ = 196618368. Its totient is φ = 23255232.

The previous prime is 72937967. The next prime is 72937999. The reversal of 72937968 is 86973927.

It is a self number, because there is not a number n which added to its sum of digits gives 72937968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72937967) 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, 31930 + ... + 34137.

Almost surely, 2^72937968 is an apocalyptic number.

It is an amenable number.

72937968 is an abundant number, since it is smaller than the sum of its proper divisors (123680400).

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

72937968 is a wasteful number, since it uses less digits than its factorization.

72937968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66101 (or 66095 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 72937968 is about 8540.3728255855. The cubic root of 72937968 is about 417.8155058311.

The spelling of 72937968 in words is "seventy-two million, nine hundred thirty-seven thousand, nine hundred sixty-eight".