71976 has 16 divisors (see below), whose sum is σ = 180000. Its totient is φ = 23984.

The previous prime is 71971. The next prime is 71983. The reversal of 71976 is 67917.

It is not an unprimeable number, because it can be changed into a prime (71971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1476 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2⁷¹⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

71976 is an abundant number, since it is smaller than the sum of its proper divisors (108024).

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 (90000).

71976 is a wasteful number, since it uses less digits than its factorization.

71976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3004 counting only the distinct ones).

The product of its digits is 2646, while the sum is 30.

The square root of 71976 is about 268.2834322130. The cubic root of 71976 is about 41.5970535388.

It can be divided in two parts, 71 and 976, that multiplied together give a palindrome (69296).

The spelling of 71976 in words is "seventy-one thousand, nine hundred seventy-six".