71676 has 36 divisors (see below), whose sum is σ = 198744. Its totient is φ = 21600.

The previous prime is 71671. The next prime is 71693. The reversal of 71676 is 67617.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71671) by changing a digit.

71676 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 306 + ... + 486.

2⁷¹⁶⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99372).

71676 is an abundant number, since it is smaller than the sum of its proper divisors (127068).

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

71676 is a wasteful number, since it uses less digits than its factorization.

71676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

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

The square root of 71676 is about 267.7237382079. The cubic root of 71676 is about 41.5391801079.

It can be divided in two parts, 71 and 676, that added together give a palindrome (747).

The spelling of 71676 in words is "seventy-one thousand, six hundred seventy-six".