725633 has 4 divisors (see below), whose sum is σ = 741120. Its totient is φ = 710148.

The previous prime is 725603. The next prime is 725639. The reversal of 725633 is 336527.

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.

It is a cyclic number.

It is not a de Polignac number, because 725633 - 2¹⁰ = 724609 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (725639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7673 + ... + 7766.

It is an arithmetic number, because the mean of its divisors is an integer number (185280).

2⁷²⁵⁶³³ is an apocalyptic number.

It is an amenable number.

725633 is a deficient number, since it is larger than the sum of its proper divisors (15487).

725633 is a wasteful number, since it uses less digits than its factorization.

725633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15486.

The product of its digits is 3780, while the sum is 26.

The square root of 725633 is about 851.8409475953. The cubic root of 725633 is about 89.8612264604.

The spelling of 725633 in words is "seven hundred twenty-five thousand, six hundred thirty-three".