72985938 has 16 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 24283856.

The previous prime is 72985937. The next prime is 72985943. The reversal of 72985938 is 83958927.

It is not an unprimeable number, because it can be changed into a prime (72985937) 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, 7578 + ... + 14261.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^72985938 is an apocalyptic number.

72985938 is an abundant number, since it is smaller than the sum of its proper divisors (73254702).

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

72985938 is a wasteful number, since it uses less digits than its factorization.

72985938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22401.

The product of its digits is 1088640, while the sum is 51.

The square root of 72985938 is about 8543.1807893782. The cubic root of 72985938 is about 417.9070823588.

The spelling of 72985938 in words is "seventy-two million, nine hundred eighty-five thousand, nine hundred thirty-eight".