72819211392 has 48 divisors (see below), whose sum is σ = 209544869430. Its totient is φ = 24273070080.

The previous prime is 72819211379. The next prime is 72819211397. The reversal of 72819211392 is 29311291827.

72819211392 is a `hidden beast` number, since 72 + 8 + 192 + 1 + 1 + 392 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62312141376 + 10507070016 = 249624^2 + 102504^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (72819211397) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 31604409 + ... + 31606712.

Almost surely, 2^72819211392 is an apocalyptic number.

72819211392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72819211392 is an abundant number, since it is smaller than the sum of its proper divisors (136725658038).

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

72819211392 is a wasteful number, since it uses less digits than its factorization.

72819211392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63211141 (or 63211126 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 72819211392 in words is "seventy-two billion, eight hundred nineteen million, two hundred eleven thousand, three hundred ninety-two".