12886272 has 216 divisors, whose sum is σ = 45916416. Its totient is φ = 3391488.

The previous prime is 12886267. The next prime is 12886277. The reversal of 12886272 is 27268821.

It is a happy number.

12886272 is a `hidden beast` number, since 1 + 28 + 8 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12886267) and next prime (12886277).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274153 + ... + 274199.

It is an arithmetic number, because the mean of its divisors is an integer number (212576).

Almost surely, 2^12886272 is an apocalyptic number.

12886272 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 12886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958208).

12886272 is an abundant number, since it is smaller than the sum of its proper divisors (33030144).

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

12886272 is a wasteful number, since it uses less digits than its factorization.

12886272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

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

The square root of 12886272 is about 3589.7453948713. The cubic root of 12886272 is about 234.4457861923.

The spelling of 12886272 in words is "twelve million, eight hundred eighty-six thousand, two hundred seventy-two".