82927576072 has 64 divisors (see below), whose sum is σ = 172290680640. Its totient is φ = 37102771200.

The previous prime is 82927576063. The next prime is 82927576079. The reversal of 82927576072 is 27067572928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82927576079) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8727228 + ... + 8736724.

It is an arithmetic number, because the mean of its divisors is an integer number (2692041885).

Almost surely, 2^82927576072 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 82927576072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86145340320).

82927576072 is an abundant number, since it is smaller than the sum of its proper divisors (89363104568).

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

82927576072 is a wasteful number, since it uses less digits than its factorization.

82927576072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062 (or 11058 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 82927576072 in words is "eighty-two billion, nine hundred twenty-seven million, five hundred seventy-six thousand, seventy-two".