71982066145673 has 16 divisors (see below), whose sum is σ = 72721291065984. Its totient is φ = 71247325900800.

The previous prime is 71982066145573. The next prime is 71982066145681. The reversal of 71982066145673 is 37654166028917.

It is a cyclic number.

It is not a de Polignac number, because 71982066145673 - 2¹⁶ = 71982066080137 is a prime.

It is a super-3 number, since 3×71982066145673³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (71982066145273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38941748 + ... + 40748298.

It is an arithmetic number, because the mean of its divisors is an integer number (4545080691624).

It is a 1-persistent number, because it is pandigital, but 2⋅71982066145673 = 143964132291346 is not.

Almost surely, 2^{71982066145673} is an apocalyptic number.

It is an amenable number.

71982066145673 is a deficient number, since it is larger than the sum of its proper divisors (739224920311).

71982066145673 is a wasteful number, since it uses less digits than its factorization.

71982066145673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807792.

The product of its (nonzero) digits is 91445760, while the sum is 65.

The spelling of 71982066145673 in words is "seventy-one trillion, nine hundred eighty-two billion, sixty-six million, one hundred forty-five thousand, six hundred seventy-three".