725008625600 has 252 divisors, whose sum is σ = 2076743720520. Its totient is φ = 248393779200.

The previous prime is 725008625597. The next prime is 725008625683. The reversal of 725008625600 is 6526800527.

725008625600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151388006 + ... + 151392794.

It is an arithmetic number, because the mean of its divisors is an integer number (8241046510).

Almost surely, 2^725008625600 is an apocalyptic number.

725008625600 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 725008625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038371860260).

725008625600 is an abundant number, since it is smaller than the sum of its proper divisors (1351735094920).

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

725008625600 is a wasteful number, since it uses less digits than its factorization.

725008625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 725008625600 in words is "seven hundred twenty-five billion, eight million, six hundred twenty-five thousand, six hundred".