725280960 has 112 divisors (see below), whose sum is σ = 2377147392. Its totient is φ = 187161600.

The previous prime is 725280949. The next prime is 725280967. The reversal of 725280960 is 69082527.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (725280967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17575 + ... + 41945.

Almost surely, 2^725280960 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 725280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188573696).

725280960 is an abundant number, since it is smaller than the sum of its proper divisors (1651866432).

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

725280960 is a wasteful number, since it uses less digits than its factorization.

725280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24422 (or 24412 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 725280960 is about 26931.0408265258. The cubic root of 725280960 is about 898.4669208674.

The spelling of 725280960 in words is "seven hundred twenty-five million, two hundred eighty thousand, nine hundred sixty".