73085166 has 192 divisors, whose sum is σ = 215377920. Its totient is φ = 18370800.

The previous prime is 73085161. The next prime is 73085167. The reversal of 73085166 is 66158037.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73085166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73085161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2357571 + ... + 2357601.

It is an arithmetic number, because the mean of its divisors is an integer number (1121760).

Almost surely, 2^73085166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73085166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107688960).

73085166 is an abundant number, since it is smaller than the sum of its proper divisors (142292754).

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

73085166 is a wasteful number, since it uses less digits than its factorization.

73085166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73085166 is about 8548.9862556914. The cubic root of 73085166 is about 418.0963850594.

The spelling of 73085166 in words is "seventy-three million, eighty-five thousand, one hundred sixty-six".