72705076800 has 336 divisors, whose sum is σ = 243180364032. Its totient is φ = 19013068800.

The previous prime is 72705076711. The next prime is 72705076841. The reversal of 72705076800 is 867050727.

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, 106449259 + ... + 106449941.

Almost surely, 2^72705076800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72705076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121590182016).

72705076800 is an abundant number, since it is smaller than the sum of its proper divisors (170475287232).

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

72705076800 is a wasteful number, since it uses less digits than its factorization.

72705076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 72705076800 in words is "seventy-two billion, seven hundred five million, seventy-six thousand, eight hundred".