12882272 has 48 divisors (see below), whose sum is σ = 27624240. Its totient is φ = 5878272.

The previous prime is 12882271. The next prime is 12882283. The reversal of 12882272 is 27228821.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12882271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71879 + ... + 72057.

It is an arithmetic number, because the mean of its divisors is an integer number (575505).

Almost surely, 2^12882272 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 12882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812120).

12882272 is an abundant number, since it is smaller than the sum of its proper divisors (14741968).

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

12882272 is a wasteful number, since it uses less digits than its factorization.

12882272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 12882272 is about 3589.1882090523. The cubic root of 12882272 is about 234.4215257443.

The spelling of 12882272 in words is "twelve million, eight hundred eighty-two thousand, two hundred seventy-two".