12688272 has 80 divisors (see below), whose sum is σ = 38033280. Its totient is φ = 4042368.

The previous prime is 12688243. The next prime is 12688297. The reversal of 12688272 is 27288621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9298 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (475416).

Almost surely, 2^12688272 is an apocalyptic number.

12688272 is a gapful number since it is divisible by the number (12) 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 12688272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016640).

12688272 is an abundant number, since it is smaller than the sum of its proper divisors (25345008).

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

12688272 is a wasteful number, since it uses less digits than its factorization.

12688272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1305 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 12688272 is about 3562.0600781009. The cubic root of 12688272 is about 233.2388152327.

The spelling of 12688272 in words is "twelve million, six hundred eighty-eight thousand, two hundred seventy-two".