82272256 has 84 divisors (see below), whose sum is σ = 183030876. Its totient is φ = 36945920.

The previous prime is 82272221. The next prime is 82272313. The reversal of 82272256 is 65227228.

It is a happy number.

Its product of digits (26880) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 991191 + ... + 991273.

It is an arithmetic number, because the mean of its divisors is an integer number (2178939).

Almost surely, 2^82272256 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 82272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91515438).

82272256 is an abundant number, since it is smaller than the sum of its proper divisors (100758620).

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

82272256 is an equidigital number, since it uses as much as digits as its factorization.

82272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 82272256 is about 9070.4055036145. The cubic root of 82272256 is about 434.9284349614.

It can be divided in two parts, 82272 and 256, that added together give a palindrome (82528).

The spelling of 82272256 in words is "eighty-two million, two hundred seventy-two thousand, two hundred fifty-six".