11872 has 24 divisors (see below), whose sum is σ = 27216. Its totient is φ = 4992.

The previous prime is 11867. The next prime is 11887. The reversal of 11872 is 27811.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

11872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198 + ... + 250.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

2¹¹⁸⁷² 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 11872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608).

11872 is an abundant number, since it is smaller than the sum of its proper divisors (15344).

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

11872 is an equidigital number, since it uses as much as digits as its factorization.

11872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its digits is 112, while the sum is 19.

The square root of 11872 is about 108.9587077750. The cubic root of 11872 is about 22.8125917930.

It can be divided in two parts, 118 and 72, that added together give a triangular number (190 = T₁₉).

The spelling of 11872 in words is "eleven thousand, eight hundred seventy-two".