72865317312 has 224 divisors, whose sum is σ = 228608778240. Its totient is φ = 22678548480.

The previous prime is 72865317311. The next prime is 72865317313. The reversal of 72865317312 is 21371356827.

72865317312 is a `hidden beast` number, since 7 + 2 + 86 + 531 + 7 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72865317311) and next prime (72865317313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72865317311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3720987 + ... + 3740517.

Almost surely, 2^72865317312 is an apocalyptic number.

72865317312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72865317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114304389120).

72865317312 is an abundant number, since it is smaller than the sum of its proper divisors (155743460928).

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

72865317312 is a wasteful number, since it uses less digits than its factorization.

72865317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19696 (or 19680 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 72865317312 in words is "seventy-two billion, eight hundred sixty-five million, three hundred seventeen thousand, three hundred twelve".