82846272 has 56 divisors (see below), whose sum is σ = 226771200. Its totient is φ = 26661376.

The previous prime is 82846271. The next prime is 82846277. The reversal of 82846272 is 27264828.

It is a self number, because there is not a number n which added to its sum of digits gives 82846272.

It is not an unprimeable number, because it can be changed into a prime (82846271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872 + ... + 13007.

Almost surely, 2^82846272 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 82846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113385600).

82846272 is an abundant number, since it is smaller than the sum of its proper divisors (143924928).

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

82846272 is a wasteful number, since it uses less digits than its factorization.

82846272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14923 (or 14913 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 82846272 is about 9101.9927488435. The cubic root of 82846272 is about 435.9375945247.

The spelling of 82846272 in words is "eighty-two million, eight hundred forty-six thousand, two hundred seventy-two".