725733 has 8 divisors (see below), whose sum is σ = 1075200. Its totient is φ = 483804.

The previous prime is 725731. The next prime is 725737. The reversal of 725733 is 337527.

725733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 725733 - 2¹ = 725731 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 26879 = 725733 / (7 + 2 + 5 + 7 + 3 + 3).

It is an Ulam number.

725733 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 725697 and 725706.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13413 + ... + 13466.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

2⁷²⁵⁷³³ is an apocalyptic number.

It is an amenable number.

725733 is a deficient number, since it is larger than the sum of its proper divisors (349467).

725733 is a wasteful number, since it uses less digits than its factorization.

725733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26888 (or 26882 counting only the distinct ones).

The product of its digits is 4410, while the sum is 27.

The square root of 725733 is about 851.8996419767. The cubic root of 725733 is about 89.8653542173.

The spelling of 725733 in words is "seven hundred twenty-five thousand, seven hundred thirty-three".