725889528 has 480 divisors, whose sum is σ = 2752822800. Its totient is φ = 170698752.

The previous prime is 725889523. The next prime is 725889529. The reversal of 725889528 is 825988527.

725889528 is a `hidden beast` number, since 7 + 2 + 588 + 9 + 52 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725889523) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38204703 + ... + 38204721.

Almost surely, 2^725889528 is an apocalyptic number.

725889528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725889528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376411400).

725889528 is an abundant number, since it is smaller than the sum of its proper divisors (2026933272).

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

725889528 is a wasteful number, since it uses less digits than its factorization.

725889528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The square root of 725889528 is about 26942.3370923905. The cubic root of 725889528 is about 898.7181455139.

The spelling of 725889528 in words is "seven hundred twenty-five million, eight hundred eighty-nine thousand, five hundred twenty-eight".