72060458756 has 192 divisors, whose sum is σ = 160785542400. Its totient is φ = 27769651200.

The previous prime is 72060458707. The next prime is 72060458761. The reversal of 72060458756 is 65785406027.

It is a super-2 number, since 2×72060458756² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48394460 + ... + 48395948.

It is an arithmetic number, because the mean of its divisors is an integer number (837424700).

Almost surely, 2^72060458756 is an apocalyptic number.

72060458756 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72060458756 is an abundant number, since it is smaller than the sum of its proper divisors (88725083644).

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

72060458756 is a wasteful number, since it uses less digits than its factorization.

72060458756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 72060458756 in words is "seventy-two billion, sixty million, four hundred fifty-eight thousand, seven hundred fifty-six".