72993200 has 120 divisors (see below), whose sum is σ = 202963200. Its totient is φ = 24710400.

The previous prime is 72993199. The next prime is 72993227. The reversal of 72993200 is 239927.

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, 366701 + ... + 366899.

It is an arithmetic number, because the mean of its divisors is an integer number (1691360).

Almost surely, 2^72993200 is an apocalyptic number.

72993200 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 72993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101481600).

72993200 is an abundant number, since it is smaller than the sum of its proper divisors (129970000).

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

72993200 is a wasteful number, since it uses less digits than its factorization.

72993200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 72993200 is about 8543.6057961495. The cubic root of 72993200 is about 417.9209422915.

The spelling of 72993200 in words is "seventy-two million, nine hundred ninety-three thousand, two hundred".