75006 has 20 divisors (see below), whose sum is σ = 168432. Its totient is φ = 24948.

The previous prime is 74959. The next prime is 75011. The reversal of 75006 is 60057.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 75006.

It is a congruent number.

It is an unprimeable number.

75006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 70 + ... + 393.

2⁷⁵⁰⁰⁶ is an apocalyptic number.

75006 is an abundant number, since it is smaller than the sum of its proper divisors (93426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75006 is a wasteful number, since it uses less digits than its factorization.

75006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

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

The square root of 75006 is about 273.8722329847. The cubic root of 75006 is about 42.1727578120.

The spelling of 75006 in words is "seventy-five thousand, six".