It is a tau number, because it is divible by the number of its divisors (48).
It is a nialpdrome in base 12.
It is a congruent number.
It is an unprimeable number.
19872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
219872 is an apocalyptic number.
19872 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 19872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19872 is a wasteful number, since it uses less digits than its factorization.
19872 is an evil number, because the sum of its binary digits is even.
The square root of 19872 is about 140.9680814936. The cubic root of 19872 is about 27.0861446128.
The spelling of 19872 in words is "nineteen thousand, eight hundred seventy-two".