72474400 has 108 divisors (see below), whose sum is σ = 189937062. Its totient is φ = 26910720.

The previous prime is 72474397. The next prime is 72474401. The reversal of 72474400 is 447427.

It can be written as a sum of positive squares in 9 ways, for example, as 14653584 + 57820816 = 3828^2 + 7604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72474401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 992764 + ... + 992836.

Almost surely, 2^72474400 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 72474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94968531).

72474400 is an abundant number, since it is smaller than the sum of its proper divisors (117462662).

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

72474400 is a wasteful number, since it uses less digits than its factorization.

72474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 72474400 is about 8513.1897664741. The cubic root of 72474400 is about 416.9284612560.

The spelling of 72474400 in words is "seventy-two million, four hundred seventy-four thousand, four hundred".