12272832 has 168 divisors, whose sum is σ = 41605200. Its totient is φ = 3409920.

The previous prime is 12272831. The next prime is 12272849. The reversal of 12272832 is 23827221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12272796 and 12272805.

It is not an unprimeable number, because it can be changed into a prime (12272831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82294 + ... + 82442.

It is an arithmetic number, because the mean of its divisors is an integer number (247650).

Almost surely, 2^12272832 is an apocalyptic number.

12272832 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 12272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802600).

12272832 is an abundant number, since it is smaller than the sum of its proper divisors (29332368).

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

12272832 is a wasteful number, since it uses less digits than its factorization.

12272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12272832 is about 3503.2601958747. The cubic root of 12272832 is about 230.6649440585.

It can be divided in two parts, 122728 and 32, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 12272832 in words is "twelve million, two hundred seventy-two thousand, eight hundred thirty-two".