72560428467753 has 64 divisors (see below), whose sum is σ = 100274431721472. Its totient is φ = 46651145909760.

The previous prime is 72560428467697. The next prime is 72560428467799. The reversal of 72560428467753 is 35776482406527.

It is not a de Polignac number, because 72560428467753 - 2⁸ = 72560428467497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72560428467053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7182062500 + ... + 7182072602.

It is an arithmetic number, because the mean of its divisors is an integer number (1566787995648).

Almost surely, 2^{72560428467753} is an apocalyptic number.

72560428467753 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72560428467753 is a deficient number, since it is larger than the sum of its proper divisors (27714003253719).

72560428467753 is a wasteful number, since it uses less digits than its factorization.

72560428467753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14014.

The product of its (nonzero) digits is 474163200, while the sum is 66.

The spelling of 72560428467753 in words is "seventy-two trillion, five hundred sixty billion, four hundred twenty-eight million, four hundred sixty-seven thousand, seven hundred fifty-three".