71968 has 24 divisors (see below), whose sum is σ = 153468. Its totient is φ = 33024.

The previous prime is 71963. The next prime is 71971. The reversal of 71968 is 86917.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 144 = 268^2 + 12^2 .

It is not an unprimeable number, because it can be changed into a prime (71963) by changing a digit.

71968 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 330 + ... + 502.

2⁷¹⁹⁶⁸ 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 71968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76734).

71968 is an abundant number, since it is smaller than the sum of its proper divisors (81500).

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

71968 is a wasteful number, since it uses less digits than its factorization.

71968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its digits is 3024, while the sum is 31.

The square root of 71968 is about 268.2685221937. The cubic root of 71968 is about 41.5955123364.

It can be divided in two parts, 719 and 68, that added together give a palindrome (787).

The spelling of 71968 in words is "seventy-one thousand, nine hundred sixty-eight".