12872272 has 80 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 4980096.

The previous prime is 12872239. The next prime is 12872287. The reversal of 12872272 is 27227821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48813 + ... + 49075.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 2^12872272 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 12872272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

12872272 is an abundant number, since it is smaller than the sum of its proper divisors (18554288).

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

12872272 is a wasteful number, since it uses less digits than its factorization.

12872272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its digits is 6272, while the sum is 31.

The square root of 12872272 is about 3587.7948659309. The cubic root of 12872272 is about 234.3608526453.

The spelling of 12872272 in words is "twelve million, eight hundred seventy-two thousand, two hundred seventy-two".