12972568 has 32 divisors (see below), whose sum is σ = 28143360. Its totient is φ = 5490720.

The previous prime is 12972563. The next prime is 12972569. The reversal of 12972568 is 86527921.

It is a self number, because there is not a number n which added to its sum of digits gives 12972568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972563) 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 7 ways as a sum of consecutive naturals, for example, 3253 + ... + 6043.

It is an arithmetic number, because the mean of its divisors is an integer number (879480).

Almost surely, 2^12972568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12972568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071680).

12972568 is an abundant number, since it is smaller than the sum of its proper divisors (15170792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12972568 is a wasteful number, since it uses less digits than its factorization.

12972568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2883 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 12972568 is about 3601.7451325712. The cubic root of 12972568 is about 234.9679630387.

The spelling of 12972568 in words is "twelve million, nine hundred seventy-two thousand, five hundred sixty-eight".