725916288 has 64 divisors (see below), whose sum is σ = 1931594400. Its totient is φ = 241548288.

The previous prime is 725916277. The next prime is 725916311. The reversal of 725916288 is 882619527.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280183 + ... + 282761.

Almost surely, 2^725916288 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 725916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965797200).

725916288 is an abundant number, since it is smaller than the sum of its proper divisors (1205678112).

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

725916288 is a wasteful number, since it uses less digits than its factorization.

725916288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3317 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 725916288 is about 26942.8337039740. The cubic root of 725916288 is about 898.7291891604.

The spelling of 725916288 in words is "seven hundred twenty-five million, nine hundred sixteen thousand, two hundred eighty-eight".