72781956 has 48 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 22394016.

The previous prime is 72781939. The next prime is 72781979. The reversal of 72781956 is 65918727.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24516 + ... + 27323.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^72781956 is an apocalyptic number.

It is an amenable number.

72781956 is an abundant number, since it is smaller than the sum of its proper divisors (130430844).

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

72781956 is a wasteful number, since it uses less digits than its factorization.

72781956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51865 (or 51857 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 72781956 is about 8531.2341428424. The cubic root of 72781956 is about 417.5173951422.

It can be divided in two parts, 72781 and 956, that added together give a palindrome (73737).

The spelling of 72781956 in words is "seventy-two million, seven hundred eighty-one thousand, nine hundred fifty-six".