72845256312 has 80 divisors (see below), whose sum is σ = 204077293200. Its totient is φ = 24276620160.

The previous prime is 72845256257. The next prime is 72845256317. The reversal of 72845256312 is 21365254827.

72845256312 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 5 + 2 + 5 + 631 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72845256317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4216989 + ... + 4234227.

It is an arithmetic number, because the mean of its divisors is an integer number (2550966165).

Almost surely, 2^72845256312 is an apocalyptic number.

72845256312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72845256312 is an abundant number, since it is smaller than the sum of its proper divisors (131232036888).

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

72845256312 is a wasteful number, since it uses less digits than its factorization.

72845256312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23778 (or 23765 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 72845256312 in words is "seventy-two billion, eight hundred forty-five million, two hundred fifty-six thousand, three hundred twelve".