82927719072 has 216 divisors, whose sum is σ = 265840716960. Its totient is φ = 24318086400.

The previous prime is 82927719037. The next prime is 82927719137. The reversal of 82927719072 is 27091772928.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3030829 + ... + 3058067.

It is an arithmetic number, because the mean of its divisors is an integer number (1230744060).

Almost surely, 2^82927719072 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 82927719072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132920358480).

82927719072 is an abundant number, since it is smaller than the sum of its proper divisors (182912997888).

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

82927719072 is a wasteful number, since it uses less digits than its factorization.

82927719072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27328 (or 27286 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 82927719072 in words is "eighty-two billion, nine hundred twenty-seven million, seven hundred nineteen thousand, seventy-two".