12972256 has 48 divisors (see below), whose sum is σ = 28168560. Its totient is φ = 5831680.

The previous prime is 12972233. The next prime is 12972257. The reversal of 12972256 is 65227921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972257) 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, 48090 + ... + 48358.

It is an arithmetic number, because the mean of its divisors is an integer number (586845).

Almost surely, 2^12972256 is an apocalyptic number.

12972256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12972256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084280).

12972256 is an abundant number, since it is smaller than the sum of its proper divisors (15196304).

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

12972256 is a wasteful number, since it uses less digits than its factorization.

12972256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 12972256 is about 3601.7018199734. The cubic root of 12972256 is about 234.9660793050.

It can be divided in two parts, 1297 and 2256, that added together give a palindrome (3553).

The spelling of 12972256 in words is "twelve million, nine hundred seventy-two thousand, two hundred fifty-six".