725249 has 18 divisors (see below), whose sum is σ = 912114. Its totient is φ = 574560.

The previous prime is 725209. The next prime is 725273. The reversal of 725249 is 942527.

725249 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 442225 + 283024 = 665^2 + 532^2 .

It is not a de Polignac number, because 725249 - 2⁸ = 724993 is a prime.

It is a super-2 number, since 2×725249² = 1051972224002, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17669 + ... + 17709.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

2⁷²⁵²⁴⁹ is an apocalyptic number.

It is an amenable number.

725249 is a deficient number, since it is larger than the sum of its proper divisors (186865).

725249 is a wasteful number, since it uses less digits than its factorization.

725249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 725249 is about 851.6155235786. The cubic root of 725249 is about 89.8453723488.

The spelling of 725249 in words is "seven hundred twenty-five thousand, two hundred forty-nine".