71964 has 18 divisors (see below), whose sum is σ = 182000. Its totient is φ = 23976.

The previous prime is 71963. The next prime is 71971. The reversal of 71964 is 46917.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71963) 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 5 ways as a sum of consecutive naturals, for example, 964 + ... + 1035.

2⁷¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

71964 is an abundant number, since it is smaller than the sum of its proper divisors (110036).

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

71964 is a wasteful number, since it uses less digits than its factorization.

71964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2004 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 71964 is about 268.2610668733. The cubic root of 71964 is about 41.5947416924.

It can be divided in two parts, 71 and 964, that added together give a triangular number (1035 = T₄₅).

The spelling of 71964 in words is "seventy-one thousand, nine hundred sixty-four".