725448960 has 180 divisors, whose sum is σ = 2596160028. Its totient is φ = 193425408.

The previous prime is 725448953. The next prime is 725448991. The reversal of 725448960 is 69844527.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 246364416 + 479084544 = 15696^2 + 21888^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 19 ways as a sum of consecutive naturals, for example, 100182 + ... + 107178.

Almost surely, 2^725448960 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 725448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298080014).

725448960 is an abundant number, since it is smaller than the sum of its proper divisors (1870711068).

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

725448960 is an equidigital number, since it uses as much as digits as its factorization.

725448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7030 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 725448960 is about 26934.1597232956. The cubic root of 725448960 is about 898.5362874523.

The spelling of 725448960 in words is "seven hundred twenty-five million, four hundred forty-eight thousand, nine hundred sixty".