72781980 has 24 divisors (see below), whose sum is σ = 203789712. Its totient is φ = 19408512.

The previous prime is 72781979. The next prime is 72781993. The reversal of 72781980 is 8918727.

It is a super-2 number, since 2×72781980² = 10594433225440800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 606457 + ... + 606576.

It is an arithmetic number, because the mean of its divisors is an integer number (8491238).

Almost surely, 2^72781980 is an apocalyptic number.

It is an amenable number.

72781980 is an abundant number, since it is smaller than the sum of its proper divisors (131007732).

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

72781980 is a wasteful number, since it uses less digits than its factorization.

72781980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213045 (or 1213043 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 72781980 is about 8531.2355494383. The cubic root of 72781980 is about 417.5174410346.

The spelling of 72781980 in words is "seventy-two million, seven hundred eighty-one thousand, nine hundred eighty".