Multipling 7500 by its sum of digits (12), we get a square (90000 = 3002).
7500 divided by its sum of digits (12) gives a 4-th power (625 = 54).
Adding to 7500 its reverse (57), we get a palindrome (7557).
7500 is nontrivially palindromic in base 7.
It is a tau number, because it is divible by the number of its divisors (30).
It is an Ulam number.
It is a nialpdrome in base 5, base 6, base 10 and base 12.
It is a zygodrome in base 5.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7500.
27500 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 7500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10934).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7500 is a wasteful number, since it uses less digits than its factorization.
7500 is an odious number, because the sum of its binary digits is odd.
The square root of 7500 is about 86.6025403784. The cubic root of 7500 is about 19.5743382058.
The spelling of 7500 in words is "seven thousand, five hundred".