72506952799775 has 48 divisors (see below), whose sum is σ = 102742628300928. Its totient is φ = 50284656384000.

The previous prime is 72506952799739. The next prime is 72506952799789. The reversal of 72506952799775 is 57799725960527.

It is not a de Polignac number, because 72506952799775 - 2¹⁸ = 72506952537631 is a prime.

It is a super-2 number, since 2×72506952799775² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72506952799775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11686631 + ... + 16780680.

It is an arithmetic number, because the mean of its divisors is an integer number (2140471422936).

Almost surely, 2^{72506952799775} is an apocalyptic number.

72506952799775 is a deficient number, since it is larger than the sum of its proper divisors (30235675501153).

72506952799775 is a wasteful number, since it uses less digits than its factorization.

72506952799775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28467812 (or 28467807 counting only the distinct ones).

The product of its (nonzero) digits is 5250987000, while the sum is 80.

The spelling of 72506952799775 in words is "seventy-two trillion, five hundred six billion, nine hundred fifty-two million, seven hundred ninety-nine thousand, seven hundred seventy-five".