It is a tau number, because it is divible by the number of its divisors (24).
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13752.
213752 is an apocalyptic number.
13752 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 13752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13752 is a wasteful number, since it uses less digits than its factorization.
13752 is an evil number, because the sum of its binary digits is even.
The square root of 13752 is about 117.2689217142. The cubic root of 13752 is about 23.9582607853.
The spelling of 13752 in words is "thirteen thousand, seven hundred fifty-two".