82272036 has 96 divisors (see below), whose sum is σ = 240952320. Its totient is φ = 21225600.

The previous prime is 82272017. The next prime is 82272041. The reversal of 82272036 is 63027228.

It is a junction number, because it is equal to n+sod(n) for n = 82271994 and 82272012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248391 + ... + 248721.

It is an arithmetic number, because the mean of its divisors is an integer number (2509920).

Almost surely, 2^82272036 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 82272036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120476160).

82272036 is an abundant number, since it is smaller than the sum of its proper divisors (158680284).

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

82272036 is a wasteful number, since it uses less digits than its factorization.

82272036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 82272036 is about 9070.3933762544. The cubic root of 82272036 is about 434.9280472879.

The spelling of 82272036 in words is "eighty-two million, two hundred seventy-two thousand, thirty-six".