72511724765520 has 160 divisors (see below), whose sum is σ = 249776813082240. Its totient is φ = 19335360153600.

The previous prime is 72511724765503. The next prime is 72511724765527. The reversal of 72511724765520 is 2556742711527.

72511724765520 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 1 + 72 + 47 + 6 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72511724765527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37387720 + ... + 39279320.

It is an arithmetic number, because the mean of its divisors is an integer number (1561105081764).

Almost surely, 2^{72511724765520} is an apocalyptic number.

It is an amenable number.

72511724765520 is an abundant number, since it is smaller than the sum of its proper divisors (177265088316720).

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

72511724765520 is a wasteful number, since it uses less digits than its factorization.

72511724765520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909370 (or 1909358 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 72511724765520 in words is "seventy-two trillion, five hundred eleven billion, seven hundred twenty-four million, seven hundred sixty-five thousand, five hundred twenty".