72888482864824 has 64 divisors (see below), whose sum is σ = 154233478166400. Its totient is φ = 31988185891200.

The previous prime is 72888482864783. The next prime is 72888482864833. The reversal of 72888482864824 is 42846828488827.

It is a Smith number, since the sum of its digits (79) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 203641779 + ... + 203999389.

It is an arithmetic number, because the mean of its divisors is an integer number (2409898096350).

Almost surely, 2^{72888482864824} is an apocalyptic number.

It is an amenable number.

72888482864824 is an abundant number, since it is smaller than the sum of its proper divisors (81344995301576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72888482864824 is a wasteful number, since it uses less digits than its factorization.

72888482864824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437524 (or 437520 counting only the distinct ones).

The product of its digits is 5637144576, while the sum is 79.

The spelling of 72888482864824 in words is "seventy-two trillion, eight hundred eighty-eight billion, four hundred eighty-two million, eight hundred sixty-four thousand, eight hundred twenty-four".