725617 has 8 divisors (see below), whose sum is σ = 760320. Its totient is φ = 691680.

The previous prime is 725603. The next prime is 725639. The reversal of 725617 is 716527.

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 725617 - 2¹⁹ = 201329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725687) 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, 2628 + ... + 2890.

It is an arithmetic number, because the mean of its divisors is an integer number (95040).

2⁷²⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

725617 is a deficient number, since it is larger than the sum of its proper divisors (34703).

725617 is a wasteful number, since it uses less digits than its factorization.

725617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its digits is 2940, while the sum is 28.

The square root of 725617 is about 851.8315561189. The cubic root of 725617 is about 89.8605659841.

The spelling of 725617 in words is "seven hundred twenty-five thousand, six hundred seventeen".