82832059272 has 128 divisors (see below), whose sum is σ = 218009088000. Its totient is φ = 26191537920.

The previous prime is 82832059267. The next prime is 82832059283. The reversal of 82832059272 is 27295023828.

It is a super-2 number, since 2×82832059272² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16370679 + ... + 16375737.

It is an arithmetic number, because the mean of its divisors is an integer number (1703196000).

Almost surely, 2^82832059272 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 82832059272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109004544000).

82832059272 is an abundant number, since it is smaller than the sum of its proper divisors (135177028728).

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

82832059272 is a wasteful number, since it uses less digits than its factorization.

82832059272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 82832059272 in words is "eighty-two billion, eight hundred thirty-two million, fifty-nine thousand, two hundred seventy-two".