725728312320 has 704 divisors, whose sum is σ = 2636895485952. Its totient is φ = 168763392000.

The previous prime is 725728312319. The next prime is 725728312391. The reversal of 725728312320 is 23213827527.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665194975 + ... + 665196065.

Almost surely, 2^725728312320 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 725728312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318447742976).

725728312320 is an abundant number, since it is smaller than the sum of its proper divisors (1911167173632).

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

725728312320 is a wasteful number, since it uses less digits than its factorization.

725728312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 725728312320 in words is "seven hundred twenty-five billion, seven hundred twenty-eight million, three hundred twelve thousand, three hundred twenty".