71292 has 24 divisors (see below), whose sum is σ = 179536. Its totient is φ = 21888.

The previous prime is 71287. The next prime is 71293. The reversal of 71292 is 29217.

It is a happy number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71292.

It is not an unprimeable number, because it can be changed into a prime (71293) by changing a digit.

71292 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 384.

2⁷¹²⁹² is an apocalyptic number.

It is an amenable number.

71292 is an abundant number, since it is smaller than the sum of its proper divisors (108244).

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 (89768).

71292 is a wasteful number, since it uses less digits than its factorization.

71292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 71292 is about 267.0056179184. The cubic root of 71292 is about 41.4648659913.

It can be divided in two parts, 71 and 292, that added together give a palindrome (363).

The spelling of 71292 in words is "seventy-one thousand, two hundred ninety-two".