725997 has 8 divisors (see below), whose sum is σ = 975520. Its totient is φ = 480240.

The previous prime is 725993. The next prime is 725999. The reversal of 725997 is 799527.

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

It is not a de Polignac number, because 725997 - 2² = 725993 is a prime.

It is a Duffinian number.

725997 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725993) 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, 454 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (121940).

2⁷²⁵⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

725997 is a deficient number, since it is larger than the sum of its proper divisors (249523).

725997 is a wasteful number, since it uses less digits than its factorization.

725997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883.

The product of its digits is 39690, while the sum is 39.

The square root of 725997 is about 852.0545757168. The cubic root of 725997 is about 89.8762496739.

The spelling of 725997 in words is "seven hundred twenty-five thousand, nine hundred ninety-seven".