12272 has 20 divisors (see below), whose sum is σ = 26040. Its totient is φ = 5568.

The previous prime is 12269. The next prime is 12277. The reversal of 12272 is 27221.

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12272.

It is not an unprimeable number, because it can be changed into a prime (12277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

2¹²²⁷² 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 12272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020).

12272 is an abundant number, since it is smaller than the sum of its proper divisors (13768).

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

12272 is a wasteful number, since it uses less digits than its factorization.

12272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its digits is 56, while the sum is 14.

The square root of 12272 is about 110.7790593930. The cubic root of 12272 is about 23.0659731527.

Adding to 12272 its reverse (27221), we get a palindrome (39493).

The spelling of 12272 in words is "twelve thousand, two hundred seventy-two", and thus it is an iban number.