725711 has 8 divisors (see below), whose sum is σ = 849024. Its totient is φ = 607320.

The previous prime is 725687. The next prime is 725723. The reversal of 725711 is 117527.

It is a happy number.

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

It is a de Polignac number, because none of the positive numbers 2^k-725711 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 905 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (106128).

2⁷²⁵⁷¹¹ is an apocalyptic number.

725711 is a deficient number, since it is larger than the sum of its proper divisors (123313).

725711 is a wasteful number, since it uses less digits than its factorization.

725711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461.

The product of its digits is 490, while the sum is 23.

The square root of 725711 is about 851.8867295597. The cubic root of 725711 is about 89.8644461433.

The spelling of 725711 in words is "seven hundred twenty-five thousand, seven hundred eleven".