725600 has 36 divisors (see below), whose sum is σ = 1773324. Its totient is φ = 289920.

The previous prime is 725597. The next prime is 725603. The reversal of 725600 is 6527.

It is an interprime number because it is at equal distance from previous prime (725597) and next prime (725603).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347 + ... + 1253.

It is an arithmetic number, because the mean of its divisors is an integer number (49259).

2⁷²⁵⁶⁰⁰ 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 725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886662).

725600 is an abundant number, since it is smaller than the sum of its proper divisors (1047724).

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

725600 is a wasteful number, since it uses less digits than its factorization.

725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 725600 is about 851.8215775619. The cubic root of 725600 is about 89.8598642174.

The spelling of 725600 in words is "seven hundred twenty-five thousand, six hundred".