72814028375 has 32 divisors (see below), whose sum is σ = 102330888192. Its totient is φ = 51247380000.

The previous prime is 72814028369. The next prime is 72814028387. The reversal of 72814028375 is 57382041827.

It is not a de Polignac number, because 72814028375 - 2¹⁸ = 72813766231 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811499 + ... + 896748.

It is an arithmetic number, because the mean of its divisors is an integer number (3197840256).

Almost surely, 2^72814028375 is an apocalyptic number.

72814028375 is a deficient number, since it is larger than the sum of its proper divisors (29516859817).

72814028375 is a wasteful number, since it uses less digits than its factorization.

72814028375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708304 (or 1708294 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The spelling of 72814028375 in words is "seventy-two billion, eight hundred fourteen million, twenty-eight thousand, three hundred seventy-five".