725937 has 4 divisors (see below), whose sum is σ = 967920. Its totient is φ = 483956.

The previous prime is 725929. The next prime is 725939. The reversal of 725937 is 739527.

725937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 739527 = 3 ⋅246509.

It is a cyclic number.

It is not a de Polignac number, because 725937 - 2³ = 725929 is a prime.

It is a D-number.

725937 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 725898 and 725907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725937.

It is not an unprimeable number, because it can be changed into a prime (725939) 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, 120987 + ... + 120992.

It is an arithmetic number, because the mean of its divisors is an integer number (241980).

2⁷²⁵⁹³⁷ is an apocalyptic number.

It is an amenable number.

725937 is a deficient number, since it is larger than the sum of its proper divisors (241983).

725937 is a wasteful number, since it uses less digits than its factorization.

725937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241982.

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

The square root of 725937 is about 852.0193659771. The cubic root of 725937 is about 89.8737736657.

Subtracting from 725937 its sum of digits (33), we obtain a square (725904 = 852²).

The spelling of 725937 in words is "seven hundred twenty-five thousand, nine hundred thirty-seven".