75966 has 16 divisors (see below), whose sum is σ = 165888. Its totient is φ = 23000.

The previous prime is 75941. The next prime is 75967. The reversal of 75966 is 66957.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (10368).

2⁷⁵⁹⁶⁶ is an apocalyptic number.

75966 is an abundant number, since it is smaller than the sum of its proper divisors (89922).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944).

75966 is a wasteful number, since it uses less digits than its factorization.

75966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167.

The product of its digits is 11340, while the sum is 33.

The square root of 75966 is about 275.6193026622. The cubic root of 75966 is about 42.3519183213.

Subtracting from 75966 its reverse (66957), we obtain a palindrome (9009).

The spelling of 75966 in words is "seventy-five thousand, nine hundred sixty-six".