71892 has 18 divisors (see below), whose sum is σ = 181818. Its totient is φ = 23952.

The previous prime is 71887. The next prime is 71899. The reversal of 71892 is 29817.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 30276 = 204^2 + 174^2 .

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 (71899) 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, 963 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (10101).

2⁷¹⁸⁹² is an apocalyptic number.

It is an amenable number.

71892 is an abundant number, since it is smaller than the sum of its proper divisors (109926).

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

71892 is a wasteful number, since it uses less digits than its factorization.

71892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2002 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 71892 is about 268.1268356581. The cubic root of 71892 is about 41.5808652137.

Adding to 71892 its product of digits (1008), we get a square (72900 = 270²).

The spelling of 71892 in words is "seventy-one thousand, eight hundred ninety-two".