71667567005 has 8 divisors (see below), whose sum is σ = 86108991192. Its totient is φ = 57262113088.

The previous prime is 71667566987. The next prime is 71667567061. The reversal of 71667567005 is 50076576617.

It can be written as a sum of positive squares in 4 ways, for example, as 424483609 + 71243083396 = 20603^2 + 266914^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71667567005 - 2²⁴ = 71650789789 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8988182 + ... + 8996151.

It is an arithmetic number, because the mean of its divisors is an integer number (10763623899).

Almost surely, 2^71667567005 is an apocalyptic number.

It is an amenable number.

71667567005 is a deficient number, since it is larger than the sum of its proper divisors (14441424187).

71667567005 is a wasteful number, since it uses less digits than its factorization.

71667567005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17985135.

The product of its (nonzero) digits is 1852200, while the sum is 50.

The spelling of 71667567005 in words is "seventy-one billion, six hundred sixty-seven million, five hundred sixty-seven thousand, five".