82178824272 has 80 divisors (see below), whose sum is σ = 216267140160. Its totient is φ = 26883495936.

The previous prime is 82178824241. The next prime is 82178824297. The reversal of 82178824272 is 27242887128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817608 + ... + 912600.

It is an arithmetic number, because the mean of its divisors is an integer number (2703339252).

Almost surely, 2^82178824272 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 82178824272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108133570080).

82178824272 is an abundant number, since it is smaller than the sum of its proper divisors (134088315888).

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

82178824272 is a wasteful number, since it uses less digits than its factorization.

82178824272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95340 (or 95334 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 51.

The spelling of 82178824272 in words is "eighty-two billion, one hundred seventy-eight million, eight hundred twenty-four thousand, two hundred seventy-two".