72875657827 has 24 divisors (see below), whose sum is σ = 85188796416. Its totient is φ = 62159782608.

The previous prime is 72875657807. The next prime is 72875657831.

72875657827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72875657827 - 2²⁷ = 72741440099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72875657807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8684928 + ... + 8693314.

It is an arithmetic number, because the mean of its divisors is an integer number (3549533184).

Almost surely, 2^72875657827 is an apocalyptic number.

72875657827 is a deficient number, since it is larger than the sum of its proper divisors (12313138589).

72875657827 is a wasteful number, since it uses less digits than its factorization.

72875657827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9240 counting only the distinct ones).

The product of its digits is 92198400, while the sum is 64.

The spelling of 72875657827 in words is "seventy-two billion, eight hundred seventy-five million, six hundred fifty-seven thousand, eight hundred twenty-seven".