It is a tau number, because it is divible by the number of its divisors (60).
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67500.
It is an unprimeable number.
267500 is an apocalyptic number.
67500 is a gapful number since it is divisible by the number (60) 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 67500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67500 is a wasteful number, since it uses less digits than its factorization.
67500 is an evil number, because the sum of its binary digits is even.
The square root of 67500 is about 259.8076211353. The cubic root of 67500 is about 40.7162642489.
The spelling of 67500 in words is "sixty-seven thousand, five hundred".