72821764268 has 48 divisors (see below), whose sum is σ = 141422265600. Its totient is φ = 32531906880.

The previous prime is 72821764241. The next prime is 72821764289. The reversal of 72821764268 is 86246712827.

It is a super-2 number, since 2×72821764268² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266038 + ... + 1322306.

It is an arithmetic number, because the mean of its divisors is an integer number (2946297200).

Almost surely, 2^72821764268 is an apocalyptic number.

It is an amenable number.

72821764268 is a deficient number, since it is larger than the sum of its proper divisors (68600501332).

72821764268 is a wasteful number, since it uses less digits than its factorization.

72821764268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56790 (or 56788 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 53.

The spelling of 72821764268 in words is "seventy-two billion, eight hundred twenty-one million, seven hundred sixty-four thousand, two hundred sixty-eight".