82272760 has 64 divisors (see below), whose sum is σ = 195655680. Its totient is φ = 31086720.

The previous prime is 82272731. The next prime is 82272761. The reversal of 82272760 is 6727228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82272761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52549 + ... + 54091.

It is an arithmetic number, because the mean of its divisors is an integer number (3057120).

Almost surely, 2^82272760 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 82272760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97827840).

82272760 is an abundant number, since it is smaller than the sum of its proper divisors (113382920).

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

82272760 is a wasteful number, since it uses less digits than its factorization.

82272760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 82272760 is about 9070.4332862328. The cubic root of 82272760 is about 434.9293230838.

Adding to 82272760 its reverse (6727228), we get a palindrome (88999988).

The spelling of 82272760 in words is "eighty-two million, two hundred seventy-two thousand, seven hundred sixty".