12586272 has 48 divisors (see below), whose sum is σ = 33818400. Its totient is φ = 4096512.

The previous prime is 12586247. The next prime is 12586283. The reversal of 12586272 is 27268521.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2604 + ... + 5652.

It is an arithmetic number, because the mean of its divisors is an integer number (704550).

Almost surely, 2^12586272 is an apocalyptic number.

12586272 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 12586272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909200).

12586272 is an abundant number, since it is smaller than the sum of its proper divisors (21232128).

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

12586272 is a wasteful number, since it uses less digits than its factorization.

12586272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3097 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 12586272 is about 3547.7136299313. The cubic root of 12586272 is about 232.6121369114.

The spelling of 12586272 in words is "twelve million, five hundred eighty-six thousand, two hundred seventy-two".