82142172 has 72 divisors (see below), whose sum is σ = 240694272. Its totient is φ = 23133600.

The previous prime is 82142161. The next prime is 82142197. The reversal of 82142172 is 27124128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15597 + ... + 20187.

It is an arithmetic number, because the mean of its divisors is an integer number (3342976).

Almost surely, 2^82142172 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 82142172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120347136).

82142172 is an abundant number, since it is smaller than the sum of its proper divisors (158552100).

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

82142172 is a wasteful number, since it uses less digits than its factorization.

82142172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4674 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 82142172 is about 9063.2318738958. The cubic root of 82142172 is about 434.6990863800.

The spelling of 82142172 in words is "eighty-two million, one hundred forty-two thousand, one hundred seventy-two".