82356736 has 80 divisors (see below), whose sum is σ = 205254720. Its totient is φ = 32071680.

The previous prime is 82356727. The next prime is 82356751. The reversal of 82356736 is 63765328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38380 + ... + 40468.

It is an arithmetic number, because the mean of its divisors is an integer number (2565684).

Almost surely, 2^82356736 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 82356736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102627360).

82356736 is an abundant number, since it is smaller than the sum of its proper divisors (122897984).

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

82356736 is a wasteful number, since it uses less digits than its factorization.

82356736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2109 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 82356736 is about 9075.0612119148. The cubic root of 82356736 is about 435.0772505602.

The spelling of 82356736 in words is "eighty-two million, three hundred fifty-six thousand, seven hundred thirty-six".