13872 has 30 divisors (see below), whose sum is σ = 38068. Its totient is φ = 4352.

The previous prime is 13859. The next prime is 13873. The reversal of 13872 is 27831.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (13873) by changing a digit.

13872 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 5 ways as a sum of consecutive naturals, for example, 808 + ... + 824.

2¹³⁸⁷² is an apocalyptic number.

13872 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 13872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034).

13872 is an abundant number, since it is smaller than the sum of its proper divisors (24196).

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

13872 is a wasteful number, since it uses less digits than its factorization.

13872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 22 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 13872 is about 117.7794549147. The cubic root of 13872 is about 24.0277456894.

It can be divided in two parts, 138 and 72, that added together give a triangular number (210 = T₂₀).

The spelling of 13872 in words is "thirteen thousand, eight hundred seventy-two".