73368801 has 64 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 42344640.

The previous prime is 73368767. The next prime is 73368839. The reversal of 73368801 is 10886337.

It is not a de Polignac number, because 73368801 - 2¹⁵ = 73336033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73368851) 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 63 ways as a sum of consecutive naturals, for example, 928680 + ... + 928758.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^73368801 is an apocalyptic number.

It is an amenable number.

73368801 is a deficient number, since it is larger than the sum of its proper divisors (51047199).

73368801 is a wasteful number, since it uses less digits than its factorization.

73368801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

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

The square root of 73368801 is about 8565.5590010226. The cubic root of 73368801 is about 418.6365479835.

The spelling of 73368801 in words is "seventy-three million, three hundred sixty-eight thousand, eight hundred one".