725729 has 4 divisors (see below), whose sum is σ = 739476. Its totient is φ = 711984.

The previous prime is 725723. The next prime is 725731. The reversal of 725729 is 927527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 927527 = 641 ⋅1447.

It can be written as a sum of positive squares in 2 ways, for example, as 664225 + 61504 = 815^2 + 248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-725729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 725695 and 725704.

It is not an unprimeable number, because it can be changed into a prime (725723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6794 + ... + 6899.

It is an arithmetic number, because the mean of its divisors is an integer number (184869).

2⁷²⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

725729 is a deficient number, since it is larger than the sum of its proper divisors (13747).

725729 is a wasteful number, since it uses less digits than its factorization.

725729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13746.

The product of its digits is 8820, while the sum is 32.

The square root of 725729 is about 851.8972942791. The cubic root of 725729 is about 89.8651891143.

The spelling of 725729 in words is "seven hundred twenty-five thousand, seven hundred twenty-nine".