725433600 has 108 divisors (see below), whose sum is σ = 2394145376. Its totient is φ = 193443840.

The previous prime is 725433563. The next prime is 725433601. The reversal of 725433600 is 6334527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725433601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 38091.

Almost surely, 2^725433600 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 725433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197072688).

725433600 is an abundant number, since it is smaller than the sum of its proper divisors (1668711776).

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

725433600 is a wasteful number, since it uses less digits than its factorization.

725433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37812 (or 37793 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 725433600 is about 26933.8745820203. The cubic root of 725433600 is about 898.5299458093.

The spelling of 725433600 in words is "seven hundred twenty-five million, four hundred thirty-three thousand, six hundred".