72888899888827 has 48 divisors (see below), whose sum is σ = 82806713146080. Its totient is φ = 64069790400000.

The previous prime is 72888899888759. The next prime is 72888899888867.

72888899888827 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-72888899888827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72888899888867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5202998199 + ... + 5203012207.

It is an arithmetic number, because the mean of its divisors is an integer number (1725139857210).

Almost surely, 2^{72888899888827} is an apocalyptic number.

72888899888827 is a deficient number, since it is larger than the sum of its proper divisors (9917813257253).

72888899888827 is a wasteful number, since it uses less digits than its factorization.

72888899888827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24076 (or 24065 counting only the distinct ones).

The product of its digits is 266355081216, while the sum is 100.

The spelling of 72888899888827 in words is "seventy-two trillion, eight hundred eighty-eight billion, eight hundred ninety-nine million, eight hundred eighty-eight thousand, eight hundred twenty-seven".