72208800 has 144 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 19249920.

The previous prime is 72208789. The next prime is 72208813. The reversal of 72208800 is 880227.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×72208800² = 10428221594880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19929 + ... + 23271.

It is an arithmetic number, because the mean of its divisors is an integer number (1814120).

Almost surely, 2^72208800 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 72208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

72208800 is an abundant number, since it is smaller than the sum of its proper divisors (189024480).

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

72208800 is a wasteful number, since it uses less digits than its factorization.

72208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 72208800 is about 8497.5761249900. The cubic root of 72208800 is about 416.4185260301.

The spelling of 72208800 in words is "seventy-two million, two hundred eight thousand, eight hundred".