725407200 has 432 divisors, whose sum is σ = 3010119840. Its totient is φ = 160911360.

The previous prime is 725407169. The next prime is 725407201. The reversal of 725407200 is 2704527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725407201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1864606 + ... + 1864994.

It is an arithmetic number, because the mean of its divisors is an integer number (6967870).

Almost surely, 2^725407200 is an apocalyptic number.

725407200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505059920).

725407200 is an abundant number, since it is smaller than the sum of its proper divisors (2284712640).

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

725407200 is a wasteful number, since it uses less digits than its factorization.

725407200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 725407200 is about 26933.3844884003. The cubic root of 725407200 is about 898.5190459014.

The spelling of 725407200 in words is "seven hundred twenty-five million, four hundred seven thousand, two hundred".