725153 has 12 divisors (see below), whose sum is σ = 860244. Its totient is φ = 607200.

The previous prime is 725149. The next prime is 725159. The reversal of 725153 is 351527.

It can be written as a sum of positive squares in 2 ways, for example, as 165649 + 559504 = 407^2 + 748^2 .

It is not a de Polignac number, because 725153 - 2² = 725149 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725153.

It is not an unprimeable number, because it can be changed into a prime (725159) 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 11 ways as a sum of consecutive naturals, for example, 1343 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (71687).

2⁷²⁵¹⁵³ is an apocalyptic number.

It is an amenable number.

725153 is a deficient number, since it is larger than the sum of its proper divisors (135091).

725153 is a wasteful number, since it uses less digits than its factorization.

725153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its digits is 1050, while the sum is 23.

The square root of 725153 is about 851.5591582503. The cubic root of 725153 is about 89.8414079465.

It can be divided in two parts, 725 and 153, that added together give a palindrome (878).

The spelling of 725153 in words is "seven hundred twenty-five thousand, one hundred fifty-three".