725088 has 96 divisors (see below), whose sum is σ = 2370816. Its totient is φ = 188928.

The previous prime is 725077. The next prime is 725099. The reversal of 725088 is 880527.

It is an interprime number because it is at equal distance from previous prime (725077) and next prime (725099).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725088.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8695 + ... + 8777.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2⁷²⁵⁰⁸⁸ is an apocalyptic number.

725088 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 725088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408).

725088 is an abundant number, since it is smaller than the sum of its proper divisors (1645728).

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

725088 is a wasteful number, since it uses less digits than its factorization.

725088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 725088 is about 851.5209921077. The cubic root of 725088 is about 89.8387235172.

It can be divided in two parts, 7 and 25088, that multiplied together give a cube (175616 = 56³).

The spelling of 725088 in words is "seven hundred twenty-five thousand, eighty-eight".