72761305311 has 24 divisors (see below), whose sum is σ = 114871745664. Its totient is φ = 44181434880.

The previous prime is 72761305289. The next prime is 72761305319. The reversal of 72761305311 is 11350316727.

72761305311 is a `hidden beast` number, since 7 + 2 + 7 + 613 + 0 + 5 + 31 + 1 = 666.

It is not a de Polignac number, because 72761305311 - 2⁶ = 72761305247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72761305319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7665646 + ... + 7675131.

It is an arithmetic number, because the mean of its divisors is an integer number (4786322736).

Almost surely, 2^72761305311 is an apocalyptic number.

72761305311 is a deficient number, since it is larger than the sum of its proper divisors (42110440353).

72761305311 is a wasteful number, since it uses less digits than its factorization.

72761305311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15340831 (or 15340828 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 72761305311 in words is "seventy-two billion, seven hundred sixty-one million, three hundred five thousand, three hundred eleven".