725419688 has 96 divisors (see below), whose sum is σ = 1639709760. Its totient is φ = 294658560.

The previous prime is 725419679. The next prime is 725419693. The reversal of 725419688 is 886914527.

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, 3437903 + ... + 3438113.

It is an arithmetic number, because the mean of its divisors is an integer number (17080310).

Almost surely, 2^725419688 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 725419688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819854880).

725419688 is an abundant number, since it is smaller than the sum of its proper divisors (914290072).

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

725419688 is a wasteful number, since it uses less digits than its factorization.

725419688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 322 counting only the distinct ones).

The product of its digits is 967680, while the sum is 50.

The square root of 725419688 is about 26933.6163186454. The cubic root of 725419688 is about 898.5242019211.

The spelling of 725419688 in words is "seven hundred twenty-five million, four hundred nineteen thousand, six hundred eighty-eight".