72112855180800 has 480 divisors, whose sum is σ = 284088841293312. Its totient is φ = 15766287482880.

The previous prime is 72112855180799. The next prime is 72112855180867. The reversal of 72112855180800 is 808155821127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×72112855180800³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72112855180800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350292 + ... + 12014508.

Almost surely, 2^{72112855180800} is an apocalyptic number.

72112855180800 is a gapful number since it is divisible by the number (70) 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 72112855180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142044420646656).

72112855180800 is an abundant number, since it is smaller than the sum of its proper divisors (211975986112512).

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

72112855180800 is a wasteful number, since it uses less digits than its factorization.

72112855180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11664278 (or 11664257 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 48.

The spelling of 72112855180800 in words is "seventy-two trillion, one hundred twelve billion, eight hundred fifty-five million, one hundred eighty thousand, eight hundred".