82975680072 has 192 divisors, whose sum is σ = 243734400000. Its totient is φ = 26395896384.

The previous prime is 82975680031. The next prime is 82975680077. The reversal of 82975680072 is 27008657928.

It is a happy number.

82975680072 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 568 + 0 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82975680077) 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 47 ways as a sum of consecutive naturals, for example, 22309429 + ... + 22313147.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450000).

Almost surely, 2^82975680072 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 82975680072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200000).

82975680072 is an abundant number, since it is smaller than the sum of its proper divisors (160758719928).

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

82975680072 is a wasteful number, since it uses less digits than its factorization.

82975680072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 82975680072 in words is "eighty-two billion, nine hundred seventy-five million, six hundred eighty thousand, seventy-two".