72844788744827 has 64 divisors (see below), whose sum is σ = 84552065395200. Its totient is φ = 62141775360000.

The previous prime is 72844788744823. The next prime is 72844788744829.

72844788744827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72844788744827 - 2² = 72844788744823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72844788744823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1313508683 + ... + 1313564139.

It is an arithmetic number, because the mean of its divisors is an integer number (1321126021800).

Almost surely, 2^{72844788744827} is an apocalyptic number.

72844788744827 is a deficient number, since it is larger than the sum of its proper divisors (11707276650373).

72844788744827 is a wasteful number, since it uses less digits than its factorization.

72844788744827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56348.

The product of its digits is 10070523904, while the sum is 80.

The spelling of 72844788744827 in words is "seventy-two trillion, eight hundred forty-four billion, seven hundred eighty-eight million, seven hundred forty-four thousand, eight hundred twenty-seven".