73164681 has 32 divisors (see below), whose sum is σ = 113802240. Its totient is φ = 46396800.

The previous prime is 73164671. The next prime is 73164683. The reversal of 73164681 is 18646137.

73164681 is a `hidden beast` number, since 7 + 3 + 1 + 646 + 8 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-73164681 is a prime.

It is a super-4 number, since 4×73164681⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (73164683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50341 + ... + 51773.

It is an arithmetic number, because the mean of its divisors is an integer number (3556320).

Almost surely, 2^73164681 is an apocalyptic number.

It is an amenable number.

73164681 is a deficient number, since it is larger than the sum of its proper divisors (40637559).

73164681 is a wasteful number, since it uses less digits than its factorization.

73164681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

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

The square root of 73164681 is about 8553.6355428554. The cubic root of 73164681 is about 418.2479565596.

The spelling of 73164681 in words is "seventy-three million, one hundred sixty-four thousand, six hundred eighty-one".