73681168 has 40 divisors (see below), whose sum is σ = 158311296. Its totient is φ = 32937600.

The previous prime is 73681159. The next prime is 73681177. The reversal of 73681168 is 86118637.

It is an interprime number because it is at equal distance from previous prime (73681159) and next prime (73681177).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73681168.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7305 + ... + 14167.

Almost surely, 2^73681168 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 73681168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79155648).

73681168 is an abundant number, since it is smaller than the sum of its proper divisors (84630128).

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

73681168 is a wasteful number, since it uses less digits than its factorization.

73681168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6943 (or 6937 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 73681168 is about 8583.7735291654. The cubic root of 73681168 is about 419.2298205871.

The spelling of 73681168 in words is "seventy-three million, six hundred eighty-one thousand, one hundred sixty-eight".