72192800 has 144 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 26880000.

The previous prime is 72192797. The next prime is 72192811. The reversal of 72192800 is 829127.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016765 + ... + 1016835.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^72192800 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 72192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

72192800 is an abundant number, since it is smaller than the sum of its proper divisors (116795104).

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

72192800 is a wasteful number, since it uses less digits than its factorization.

72192800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 72192800 is about 8496.6346278983. The cubic root of 72192800 is about 416.3877671356.

The spelling of 72192800 in words is "seventy-two million, one hundred ninety-two thousand, eight hundred".