725467200 has 168 divisors, whose sum is σ = 2392436160. Its totient is φ = 192460800.

The previous prime is 725467199. The next prime is 725467207. The reversal of 725467200 is 2764527.

It is not an unprimeable number, because it can be changed into a prime (725467207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722990 + ... + 1723410.

Almost surely, 2^725467200 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 725467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196218080).

725467200 is an abundant number, since it is smaller than the sum of its proper divisors (1666968960).

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

725467200 is a wasteful number, since it uses less digits than its factorization.

725467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 725467200 is about 26934.4983246394. The cubic root of 725467200 is about 898.5438180370.

The spelling of 725467200 in words is "seven hundred twenty-five million, four hundred sixty-seven thousand, two hundred".