71992 has 8 divisors (see below), whose sum is σ = 135000. Its totient is φ = 35992.

The previous prime is 71987. The next prime is 71993. The reversal of 71992 is 29917.

71992 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 71992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71993) 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 as a sum of consecutive naturals, namely, 4492 + ... + 4507.

It is an arithmetic number, because the mean of its divisors is an integer number (16875).

2⁷¹⁹⁹² is an apocalyptic number.

It is an amenable number.

71992 is a deficient number, since it is larger than the sum of its proper divisors (63008).

71992 is a wasteful number, since it uses less digits than its factorization.

71992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 9001 counting only the distinct ones).

The product of its digits is 1134, while the sum is 28.

The square root of 71992 is about 268.3132497660. The cubic root of 71992 is about 41.6001356011.

The spelling of 71992 in words is "seventy-one thousand, nine hundred ninety-two".