12724173 has 72 divisors (see below), whose sum is σ = 24257376. Its totient is φ = 6350400.

The previous prime is 12724163. The next prime is 12724181. The reversal of 12724173 is 37142721.

It is a happy number.

12724173 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12724173 - 2⁸ = 12723917 is a prime.

12724173 is strictly pandigital in base 8.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12724133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208563 + ... + 208623.

It is an arithmetic number, because the mean of its divisors is an integer number (336908).

Almost surely, 2^12724173 is an apocalyptic number.

It is an amenable number.

12724173 is a deficient number, since it is larger than the sum of its proper divisors (11533203).

12724173 is a wasteful number, since it uses less digits than its factorization.

12724173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12724173 is about 3567.0958776013. The cubic root of 12724173 is about 233.4585883058.

Adding to 12724173 its reverse (37142721), we get a palindrome (49866894).

It can be divided in two parts, 1272 and 4173, that added together give a palindrome (5445).

The spelling of 12724173 in words is "twelve million, seven hundred twenty-four thousand, one hundred seventy-three".