12838272 has 64 divisors (see below), whose sum is σ = 34680000. Its totient is φ = 4207104.

The previous prime is 12838261. The next prime is 12838279. The reversal of 12838272 is 27283821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12838279) 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, 25479 + ... + 25977.

It is an arithmetic number, because the mean of its divisors is an integer number (541875).

Almost surely, 2^12838272 is an apocalyptic number.

12838272 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 12838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340000).

12838272 is an abundant number, since it is smaller than the sum of its proper divisors (21841728).

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

12838272 is an equidigital number, since it uses as much as digits as its factorization.

12838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 571 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 12838272 is about 3583.0534464336. The cubic root of 12838272 is about 234.1543287587.

The spelling of 12838272 in words is "twelve million, eight hundred thirty-eight thousand, two hundred seventy-two".