71766 has 20 divisors (see below), whose sum is σ = 161172. Its totient is φ = 23868.

The previous prime is 71761. The next prime is 71777. The reversal of 71766 is 66717.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 60 + ... + 383.

2⁷¹⁷⁶⁶ is an apocalyptic number.

71766 is an abundant number, since it is smaller than the sum of its proper divisors (89406).

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

71766 is a wasteful number, since it uses less digits than its factorization.

71766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 71766 is about 267.8917691905. The cubic root of 71766 is about 41.5565590657.

The spelling of 71766 in words is "seventy-one thousand, seven hundred sixty-six".