12834272 has 72 divisors (see below), whose sum is σ = 29379672. Its totient is φ = 5472000.

The previous prime is 12834257. The next prime is 12834281. The reversal of 12834272 is 27243821.

12834272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127022 + ... + 127122.

It is an arithmetic number, because the mean of its divisors is an integer number (408051).

Almost surely, 2^12834272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12834272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689836).

12834272 is an abundant number, since it is smaller than the sum of its proper divisors (16545400).

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

12834272 is a wasteful number, since it uses less digits than its factorization.

12834272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 12834272 is about 3582.4952198154. The cubic root of 12834272 is about 234.1300078686.

It can be divided in two parts, 1283 and 4272, that added together give a palindrome (5555).

The spelling of 12834272 in words is "twelve million, eight hundred thirty-four thousand, two hundred seventy-two".