It is a nialpdrome in base 13.
13872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
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).
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 square root of 13872 is about 117.7794549147. The cubic root of 13872 is about 24.0277456894.
The spelling of 13872 in words is "thirteen thousand, eight hundred seventy-two".