725237 has 8 divisors (see below), whose sum is σ = 789336. Its totient is φ = 663552.

The previous prime is 725209. The next prime is 725273. The reversal of 725237 is 732527.

725237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 461041 + 264196 = 679^2 + 514^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 725237 - 2¹² = 721141 is a prime.

It is a Duffinian number.

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 725237.

It is not an unprimeable number, because it can be changed into a prime (725437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (98667).

2⁷²⁵²³⁷ is an apocalyptic number.

It is an amenable number.

725237 is a deficient number, since it is larger than the sum of its proper divisors (64099).

725237 is a wasteful number, since it uses less digits than its factorization.

725237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207.

The product of its digits is 2940, while the sum is 26.

The square root of 725237 is about 851.6084781166. The cubic root of 725237 is about 89.8448768176.

It can be divided in two parts, 7252 and 37, that multiplied together give a square (268324 = 518²).

The spelling of 725237 in words is "seven hundred twenty-five thousand, two hundred thirty-seven".