725137920000 has 1300 divisors, whose sum is σ = 2925938071980. Its totient is φ = 177831936000.

The previous prime is 725137919953. The next prime is 725137920041. The reversal of 725137920000 is 29731527.

725137920000 is a `hidden beast` number, since 72 + 513 + 79 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 723778965504 + 1358954496 = 850752^2 + 36864^2 .

It is a tau number, because it is divible by the number of its divisors (1300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2695679866 + ... + 2695680134.

Almost surely, 2^725137920000 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 725137920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462969035990).

725137920000 is an abundant number, since it is smaller than the sum of its proper divisors (2200800151980).

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

725137920000 is an equidigital number, since it uses as much as digits as its factorization.

725137920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 725137920000 in words is "seven hundred twenty-five billion, one hundred thirty-seven million, nine hundred twenty thousand".