It is an alternating number because its digits alternate between odd and even.
It is a plaindrome in base 13.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7872.
27872 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 7872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7872 is a wasteful number, since it uses less digits than its factorization.
7872 is an evil number, because the sum of its binary digits is even.
The square root of 7872 is about 88.7242920513. The cubic root of 7872 is about 19.8927593331.
The spelling of 7872 in words is "seven thousand, eight hundred seventy-two".