73164168 has 256 divisors, whose sum is σ = 261273600. Its totient is φ = 18420480.

The previous prime is 73164167. The next prime is 73164197. The reversal of 73164168 is 86146137.

73164168 is a `hidden beast` number, since 7 + 3 + 1 + 641 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73164167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 881455 + ... + 881537.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^73164168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73164168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

73164168 is an abundant number, since it is smaller than the sum of its proper divisors (188109432).

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

73164168 is a wasteful number, since it uses less digits than its factorization.

73164168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

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

The square root of 73164168 is about 8553.6055555538. The cubic root of 73164168 is about 418.2469790310.

The spelling of 73164168 in words is "seventy-three million, one hundred sixty-four thousand, one hundred sixty-eight".