72574400 has 84 divisors (see below), whose sum is σ = 181511448. Its totient is φ = 28554240.

The previous prime is 72574351. The next prime is 72574417. The reversal of 72574400 is 447527.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 106862 + ... + 107538.

Almost surely, 2^72574400 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 72574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90755724).

72574400 is an abundant number, since it is smaller than the sum of its proper divisors (108937048).

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

72574400 is a wasteful number, since it uses less digits than its factorization.

72574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 72574400 is about 8519.0609811176. The cubic root of 72574400 is about 417.1201320846.

The spelling of 72574400 in words is "seventy-two million, five hundred seventy-four thousand, four hundred".