72511731434753 has 16 divisors (see below), whose sum is σ = 79191353578176. Its totient is φ = 65992793684160.

The previous prime is 72511731434677. The next prime is 72511731434809. The reversal of 72511731434753 is 35743413711527.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72511731434753 - 2²⁰ = 72511730386177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72511731434695 and 72511731434704.

It is not an unprimeable number, because it can be changed into a prime (72511731437753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67904750 + ... + 68964327.

It is an arithmetic number, because the mean of its divisors is an integer number (4949459598636).

Almost surely, 2^{72511731434753} is an apocalyptic number.

It is an amenable number.

72511731434753 is a deficient number, since it is larger than the sum of its proper divisors (6679622143423).

72511731434753 is a wasteful number, since it uses less digits than its factorization.

72511731434753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136869664.

The product of its digits is 7408800, while the sum is 53.

The spelling of 72511731434753 in words is "seventy-two trillion, five hundred eleven billion, seven hundred thirty-one million, four hundred thirty-four thousand, seven hundred fifty-three".