166072517 has 8 divisors (see below), whose sum is σ = 178964856. Its totient is φ = 153196992.

The previous prime is 166072477. The next prime is 166072523. The reversal of 166072517 is 715270661.

It can be written as a sum of positive squares in 4 ways, for example, as 33339076 + 132733441 = 5774^2 + 11521^2 .

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

It is not a de Polignac number, because 166072517 - 2¹⁴ = 166056133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166072117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22763 + ... + 29159.

It is an arithmetic number, because the mean of its divisors is an integer number (22370607).

Almost surely, 2^166072517 is an apocalyptic number.

It is an amenable number.

166072517 is a deficient number, since it is larger than the sum of its proper divisors (12892339).

166072517 is a wasteful number, since it uses less digits than its factorization.

166072517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8407.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 166072517 is about 12886.9126248299. The cubic root of 166072517 is about 549.6664831977. Note that the first 3 decimals are identical.

The spelling of 166072517 in words is "one hundred sixty-six million, seventy-two thousand, five hundred seventeen".