71666205884928 has 200 divisors, whose sum is σ = 214333482858000. Its totient is φ = 23840855193600.

The previous prime is 71666205884887. The next prime is 71666205884971. The reversal of 71666205884928 is 82948850266617.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 19 ways as a sum of consecutive naturals, for example, 18963003 + ... + 22426053.

It is an arithmetic number, because the mean of its divisors is an integer number (1071667414290).

Almost surely, 2^{71666205884928} 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 71666205884928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107166741429000).

71666205884928 is an abundant number, since it is smaller than the sum of its proper divisors (142667276973072).

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

71666205884928 is an equidigital number, since it uses as much as digits as its factorization.

71666205884928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463580 (or 3463555 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 71666205884928 in words is "seventy-one trillion, six hundred sixty-six billion, two hundred five million, eight hundred eighty-four thousand, nine hundred twenty-eight".