Subtracting from 37872 its reverse (27873), we obtain a palindrome (9999).
37872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an Ulam number.
It is a nialpdrome in base 14.
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 37872.
237872 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 37872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37872 is a wasteful number, since it uses less digits than its factorization.
37872 is an evil number, because the sum of its binary digits is even.
The square root of 37872 is about 194.6072968827. The cubic root of 37872 is about 33.5819631084.
The spelling of 37872 in words is "thirty-seven thousand, eight hundred seventy-two".