12985272 has 80 divisors (see below), whose sum is σ = 37679400. Its totient is φ = 4173120.

The previous prime is 12985223. The next prime is 12985277. The reversal of 12985272 is 27258921.

12985272 is a `hidden beast` number, since 129 + 8 + 527 + 2 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12985277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18447 + ... + 19137.

Almost surely, 2^12985272 is an apocalyptic number.

12985272 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 12985272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839700).

12985272 is an abundant number, since it is smaller than the sum of its proper divisors (24694128).

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

12985272 is a wasteful number, since it uses less digits than its factorization.

12985272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 725 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12985272 is about 3603.5082905413. The cubic root of 12985272 is about 235.0446391736.

The spelling of 12985272 in words is "twelve million, nine hundred eighty-five thousand, two hundred seventy-two".