8072166321 has 64 divisors (see below), whose sum is σ = 13426560000. Its totient is φ = 4763079936.

The previous prime is 8072166313. The next prime is 8072166329. The reversal of 8072166321 is 1236612708.

8072166321 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 16 + 632 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (8072166313) and next prime (8072166329).

It is not a de Polignac number, because 8072166321 - 2³ = 8072166313 is a prime.

It is a super-2 number, since 2×8072166321² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8072166329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1208890 + ... + 1215548.

It is an arithmetic number, because the mean of its divisors is an integer number (209790000).

Almost surely, 2^8072166321 is an apocalyptic number.

It is an amenable number.

8072166321 is a deficient number, since it is larger than the sum of its proper divisors (5354393679).

8072166321 is a wasteful number, since it uses less digits than its factorization.

8072166321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8072166321 is about 89845.2353828515. The cubic root of 8072166321 is about 2005.9958669105.

The spelling of 8072166321 in words is "eight billion, seventy-two million, one hundred sixty-six thousand, three hundred twenty-one".