12853272 has 64 divisors (see below), whose sum is σ = 34387200. Its totient is φ = 3991680.

The previous prime is 12853261. The next prime is 12853279. The reversal of 12853272 is 27235821.

It is a super-2 number, since 2×12853272² = 330413202211968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12853279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32178 + ... + 32574.

It is an arithmetic number, because the mean of its divisors is an integer number (537300).

Almost surely, 2^12853272 is an apocalyptic number.

12853272 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 12853272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193600).

12853272 is an abundant number, since it is smaller than the sum of its proper divisors (21533928).

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

12853272 is a wasteful number, since it uses less digits than its factorization.

12853272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 12853272 is about 3585.1460221308. The cubic root of 12853272 is about 234.2454871303.

The spelling of 12853272 in words is "twelve million, eight hundred fifty-three thousand, two hundred seventy-two".