725760000 has 600 divisors, whose sum is σ = 3095852760. Its totient is φ = 165888000.

The previous prime is 725759987. The next prime is 725760001. The reversal of 725760000 is 67527.

725760000 is a `hidden beast` number, since 7 + 2 + 57 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725760001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679997 + ... + 103680003.

Almost surely, 2^725760000 is an apocalyptic number.

725760000 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 725760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547926380).

725760000 is an abundant number, since it is smaller than the sum of its proper divisors (2370092760).

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

725760000 is an frugal number, since it uses more digits than its factorization.

725760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 725760000 is about 26939.9331847724. The cubic root of 725760000 is about 898.6646864662.

The spelling of 725760000 in words is "seven hundred twenty-five million, seven hundred sixty thousand".