725749 has 2 divisors, whose sum is σ = 725750. Its totient is φ = 725748.

The previous prime is 725737. The next prime is 725789. The reversal of 725749 is 947527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 722500 + 3249 = 850^2 + 57^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-725749 is a prime.

It is a super-2 number, since 2×725749² = 1053423222002, which contains 22 as substring.

725749 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362874 + 362875.

It is an arithmetic number, because the mean of its divisors is an integer number (362875).

2⁷²⁵⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

725749 is a deficient number, since it is larger than the sum of its proper divisors (1).

725749 is an equidigital number, since it uses as much as digits as its factorization.

725749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 34.

The square root of 725749 is about 851.9090327024. The cubic root of 725749 is about 89.8660146232.

The spelling of 725749 in words is "seven hundred twenty-five thousand, seven hundred forty-nine".