73168800 has 144 divisors (see below), whose sum is σ = 244046880. Its totient is φ = 19031040.

The previous prime is 73168789. The next prime is 73168811. The reversal of 73168800 is 886137.

It is an interprime number because it is at equal distance from previous prime (73168789) and next prime (73168811).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102846 + ... + 103554.

It is an arithmetic number, because the mean of its divisors is an integer number (1694770).

Almost surely, 2^73168800 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 73168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122023440).

73168800 is an abundant number, since it is smaller than the sum of its proper divisors (170878080).

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

73168800 is a wasteful number, since it uses less digits than its factorization.

73168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 73168800 is about 8553.8763142800. The cubic root of 73168800 is about 418.2558052054.

The spelling of 73168800 in words is "seventy-three million, one hundred sixty-eight thousand, eight hundred".