12083872 has 48 divisors (see below), whose sum is σ = 25560360. Its totient is φ = 5603328.

The previous prime is 12083861. The next prime is 12083873. The reversal of 12083872 is 27838021.

It can be written as a sum of positive squares in 4 ways, for example, as 12082576 + 1296 = 3476^2 + 36^2 .

It is a super-3 number, since 3×12083872³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12083873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52654 + ... + 52882.

Almost surely, 2^12083872 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 12083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780180).

12083872 is an abundant number, since it is smaller than the sum of its proper divisors (13476488).

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

12083872 is a wasteful number, since it uses less digits than its factorization.

12083872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 12083872 is about 3476.1864161751. The cubic root of 12083872 is about 229.4749966036.

The spelling of 12083872 in words is "twelve million, eighty-three thousand, eight hundred seventy-two".