71166 has 16 divisors (see below), whose sum is σ = 147600. Its totient is φ = 22848.

The previous prime is 71161. The next prime is 71167. The reversal of 71166 is 66117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

2⁷¹¹⁶⁶ is an apocalyptic number.

71166 is an abundant number, since it is smaller than the sum of its proper divisors (76434).

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 (73800).

71166 is a wasteful number, since it uses less digits than its factorization.

71166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its digits is 252, while the sum is 21.

The square root of 71166 is about 266.7695634813. The cubic root of 71166 is about 41.4404235384.

It can be divided in two parts, 711 and 66, that added together give a palindrome (777).

The spelling of 71166 in words is "seventy-one thousand, one hundred sixty-six".