12072 has 16 divisors (see below), whose sum is σ = 30240. Its totient is φ = 4016.

The previous prime is 12071. The next prime is 12073. The reversal of 12072 is 27021.

12072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12071) and next prime (12073).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2¹²⁰⁷² is an apocalyptic number.

12072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12072 is an abundant number, since it is smaller than the sum of its proper divisors (18168).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

12072 is a wasteful number, since it uses less digits than its factorization.

12072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 12072 is about 109.8726535586. The cubic root of 12072 is about 22.9399821477.

Adding to 12072 its product of nonzero digits (28), we get a square (12100 = 110²).

Adding to 12072 its reverse (27021), we get a palindrome (39093).

The spelling of 12072 in words is "twelve thousand, seventy-two", and thus it is an iban number.