72816912200 has 36 divisors (see below), whose sum is σ = 169308193995. Its totient is φ = 29125238400.

The previous prime is 72816912191. The next prime is 72816912251. The reversal of 72816912200 is 221961827.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5600127556 + 67216784644 = 74834^2 + 259262^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190810.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3806660 + ... + 3825740.

Almost surely, 2^72816912200 is an apocalyptic number.

It is an amenable number.

72816912200 is an abundant number, since it is smaller than the sum of its proper divisors (96491281795).

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

72816912200 is an frugal number, since it uses more digits than its factorization.

72816912200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38178 (or 19088 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 72816912200 in words is "seventy-two billion, eight hundred sixteen million, nine hundred twelve thousand, two hundred".