67500 has 60 divisors (see below), whose sum is σ = 218680. Its totient is φ = 18000.

The previous prime is 67499. The next prime is 67511. The reversal of 67500 is 576.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

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.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13498 + ... + 13502.

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).

67500 is an abundant number, since it is smaller than the sum of its proper divisors (151180).

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 sum of its prime factors is 33 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

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".