725739 has 12 divisors (see below), whose sum is σ = 1125864. Its totient is φ = 414624.

The previous prime is 725737. The next prime is 725749. The reversal of 725739 is 937527.

It is not a de Polignac number, because 725739 - 2¹ = 725737 is a prime.

It is a super-2 number, since 2×725739² = 1053394192242, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

725739 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (725731) 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 in 11 ways as a sum of consecutive naturals, for example, 2322 + ... + 2615.

It is an arithmetic number, because the mean of its divisors is an integer number (93822).

2⁷²⁵⁷³⁹ is an apocalyptic number.

725739 is a deficient number, since it is larger than the sum of its proper divisors (400125).

725739 is a wasteful number, since it uses less digits than its factorization.

725739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4947 counting only the distinct ones).

The product of its digits is 13230, while the sum is 33.

The square root of 725739 is about 851.9031635110. The cubic root of 725739 is about 89.8656018706.

The spelling of 725739 in words is "seven hundred twenty-five thousand, seven hundred thirty-nine".