725259225600 has 1200 divisors, whose sum is σ = 3304106940288. Its totient is φ = 153001820160.

The previous prime is 725259225589. The next prime is 725259225611. The reversal of 725259225600 is 6522952527.

725259225600 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 592 + 2 + 56 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (725259225589) and next prime (725259225611).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94344957 + ... + 94352643.

Almost surely, 2^725259225600 is an apocalyptic number.

725259225600 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 725259225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652053470144).

725259225600 is an abundant number, since it is smaller than the sum of its proper divisors (2578847714688).

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

725259225600 is a wasteful number, since it uses less digits than its factorization.

725259225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 725259225600 in words is "seven hundred twenty-five billion, two hundred fifty-nine million, two hundred twenty-five thousand, six hundred".