72781890131520 has 168 divisors, whose sum is σ = 250862010197760. Its totient is φ = 19367984870400.

The previous prime is 72781890131519. The next prime is 72781890131551. The reversal of 72781890131520 is 2513109818727.

72781890131520 is a `hidden beast` number, since 7 + 2 + 7 + 8 + 1 + 89 + 0 + 1 + 31 + 520 = 666.

It is a super-2 number, since 2×72781890131520² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24999906 + ... + 27758945.

Almost surely, 2^{72781890131520} is an apocalyptic number.

It is an amenable number.

72781890131520 is an abundant number, since it is smaller than the sum of its proper divisors (178080120066240).

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

72781890131520 is a wasteful number, since it uses less digits than its factorization.

72781890131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52759353 (or 52759340 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 72781890131520 in words is "seventy-two trillion, seven hundred eighty-one billion, eight hundred ninety million, one hundred thirty-one thousand, five hundred twenty".