73168032 has 48 divisors (see below), whose sum is σ = 219506112. Its totient is φ = 20904960.

The previous prime is 73168027. The next prime is 73168033. The reversal of 73168032 is 23086137.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (73168033) 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 7 ways as a sum of consecutive naturals, for example, 53769 + ... + 55112.

It is an arithmetic number, because the mean of its divisors is an integer number (4573044).

Almost surely, 2^73168032 is an apocalyptic number.

It is an amenable number.

73168032 is an abundant number, since it is smaller than the sum of its proper divisors (146338080).

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

73168032 is a wasteful number, since it uses less digits than its factorization.

73168032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108901 (or 108893 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 73168032 is about 8553.8314222341. The cubic root of 73168032 is about 418.2543418240.

The spelling of 73168032 in words is "seventy-three million, one hundred sixty-eight thousand, thirty-two".