725356800 has 486 divisors, whose sum is σ = 3028450698. Its totient is φ = 165150720.

The previous prime is 725356777. The next prime is 725356829. The reversal of 725356800 is 8653527.

It can be written as a sum of positive squares in 3 ways, for example, as 218566656 + 506790144 = 14784^2 + 22512^2 .

It is a super-2 number, since 2×725356800² = 1052284974612480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822272 + ... + 2822528.

Almost surely, 2^725356800 is an apocalyptic number.

725356800 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 725356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514225349).

725356800 is an abundant number, since it is smaller than the sum of its proper divisors (2303093898).

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

725356800 is a wasteful number, since it uses less digits than its factorization.

725356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 725356800 is about 26932.4488303607. The cubic root of 725356800 is about 898.4982362519.

The spelling of 725356800 in words is "seven hundred twenty-five million, three hundred fifty-six thousand, eight hundred".