725296 has 40 divisors (see below), whose sum is σ = 1656144. Its totient is φ = 303360.

The previous prime is 725293. The next prime is 725303. The reversal of 725296 is 692527.

725296 is nontrivially palindromic in base 5.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (725293) 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 7 ways as a sum of consecutive naturals, for example, 2130 + ... + 2446.

2⁷²⁵²⁹⁶ 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 725296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828072).

725296 is an abundant number, since it is smaller than the sum of its proper divisors (930848).

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

725296 is a wasteful number, since it uses less digits than its factorization.

725296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 725296 is about 851.6431177436. The cubic root of 725296 is about 89.8473131265.

The spelling of 725296 in words is "seven hundred twenty-five thousand, two hundred ninety-six".