725373 has 24 divisors (see below), whose sum is σ = 1213056. Its totient is φ = 412800.

The previous prime is 725371. The next prime is 725381. The reversal of 725373 is 373527.

It is not a de Polignac number, because 725373 - 2¹ = 725371 is a prime.

It is a d-powerful number, because it can be written as 7³ + 2¹⁷ + 3¹⁰ + 5⁵ + 7³ + 3¹² .

It is a Curzon number.

725373 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725373.

It is not an unprimeable number, because it can be changed into a prime (725371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1468 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (50544).

2⁷²⁵³⁷³ is an apocalyptic number.

It is an amenable number.

725373 is a deficient number, since it is larger than the sum of its proper divisors (487683).

725373 is a wasteful number, since it uses less digits than its factorization.

725373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 462 counting only the distinct ones).

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

The square root of 725373 is about 851.6883232733. The cubic root of 725373 is about 89.8504925173.

It can be divided in two parts, 72 and 5373, that added together give a palindrome (5445).

The spelling of 725373 in words is "seven hundred twenty-five thousand, three hundred seventy-three".