72964187712 has 84 divisors (see below), whose sum is σ = 225226283100. Its totient is φ = 22450516992.

The previous prime is 72964187687. The next prime is 72964187719. The reversal of 72964187712 is 21778146927.

72964187712 is a `hidden beast` number, since 72 + 96 + 418 + 7 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15869952576 + 57094235136 = 125976^2 + 238944^2 .

It is a super-3 number, since 3×72964187712³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72964187719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4864587 + ... + 4879562.

It is an arithmetic number, because the mean of its divisors is an integer number (2681265275).

Almost surely, 2^72964187712 is an apocalyptic number.

72964187712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72964187712 is an abundant number, since it is smaller than the sum of its proper divisors (152262095388).

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

72964187712 is a wasteful number, since it uses less digits than its factorization.

72964187712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744180 (or 9744167 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 72964187712 in words is "seventy-two billion, nine hundred sixty-four million, one hundred eighty-seven thousand, seven hundred twelve".