82032681472 has 80 divisors (see below), whose sum is σ = 189039597120. Its totient is φ = 34834157568.

The previous prime is 82032681457. The next prime is 82032681473. The reversal of 82032681472 is 27418623028.

It is a super-2 number, since 2×82032681472² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82032681473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285663 + ... + 495649.

It is an arithmetic number, because the mean of its divisors is an integer number (2362994964).

Almost surely, 2^82032681472 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 82032681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94519798560).

82032681472 is an abundant number, since it is smaller than the sum of its proper divisors (107006915648).

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

82032681472 is a wasteful number, since it uses less digits than its factorization.

82032681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210121 (or 210105 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 82032681472 in words is "eighty-two billion, thirty-two million, six hundred eighty-one thousand, four hundred seventy-two".