66075 has 12 divisors (see below), whose sum is σ = 109368. Its totient is φ = 35200.

The previous prime is 66071. The next prime is 66083. The reversal of 66075 is 57066.

It is not a de Polignac number, because 66075 - 2² = 66071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2⁶⁶⁰⁷⁵ is an apocalyptic number.

66075 is a deficient number, since it is larger than the sum of its proper divisors (43293).

66075 is a wasteful number, since it uses less digits than its factorization.

66075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 66075 is about 257.0505786805. The cubic root of 66075 is about 40.4277021388.

Subtracting from 66075 its reverse (57066), we obtain a palindrome (9009).

The spelling of 66075 in words is "sixty-six thousand, seventy-five".