12436272 has 60 divisors (see below), whose sum is σ = 35351160. Its totient is φ = 4080384.

The previous prime is 12436271. The next prime is 12436283. The reversal of 12436272 is 27263421.

12436272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12436272² = 309321722515968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12436271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9004 + ... + 10292.

It is an arithmetic number, because the mean of its divisors is an integer number (589186).

Almost surely, 2^12436272 is an apocalyptic number.

12436272 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 12436272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675580).

12436272 is an abundant number, since it is smaller than the sum of its proper divisors (22914888).

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

12436272 is a wasteful number, since it uses less digits than its factorization.

12436272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1361 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 12436272 is about 3526.5098893949. The cubic root of 12436272 is about 231.6843706315.

Adding to 12436272 its reverse (27263421), we get a palindrome (39699693).

The spelling of 12436272 in words is "twelve million, four hundred thirty-six thousand, two hundred seventy-two".