73164801 has 16 divisors (see below), whose sum is σ = 105079040. Its totient is φ = 45133200.

The previous prime is 73164769. The next prime is 73164809. The reversal of 73164801 is 10846137.

It is a happy number.

It is not a de Polignac number, because 73164801 - 2⁵ = 73164769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73164809) 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, 12475 + ... + 17376.

It is an arithmetic number, because the mean of its divisors is an integer number (6567440).

Almost surely, 2^73164801 is an apocalyptic number.

It is an amenable number.

73164801 is a deficient number, since it is larger than the sum of its proper divisors (31914239).

73164801 is a wasteful number, since it uses less digits than its factorization.

73164801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29916.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 73164801 is about 8553.6425574138. The cubic root of 73164801 is about 418.2481852206.

The spelling of 73164801 in words is "seventy-three million, one hundred sixty-four thousand, eight hundred one".