725959680 has 176 divisors, whose sum is σ = 2344781184. Its totient is φ = 191692800.

The previous prime is 725959651. The next prime is 725959681. The reversal of 725959680 is 86959527.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (725959681) 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, 2319204 + ... + 2319516.

Almost surely, 2^725959680 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 725959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172390592).

725959680 is an abundant number, since it is smaller than the sum of its proper divisors (1618821504).

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

725959680 is a wasteful number, since it uses less digits than its factorization.

725959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 725959680 is about 26943.6389524504. The cubic root of 725959680 is about 898.7470961288.

The spelling of 725959680 in words is "seven hundred twenty-five million, nine hundred fifty-nine thousand, six hundred eighty".