725808384 has 216 divisors, whose sum is σ = 2497931520. Its totient is φ = 207277056.

The previous prime is 725808367. The next prime is 725808409. The reversal of 725808384 is 483808527.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337617 + ... + 339759.

Almost surely, 2^725808384 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 725808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248965760).

725808384 is an abundant number, since it is smaller than the sum of its proper divisors (1772123136).

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

725808384 is a wasteful number, since it uses less digits than its factorization.

725808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 725808384 is about 26940.8311675791. The cubic root of 725808384 is about 898.6846563488.

The spelling of 725808384 in words is "seven hundred twenty-five million, eight hundred eight thousand, three hundred eighty-four".