73479168 has 264 divisors, whose sum is σ = 260574912. Its totient is φ = 19464192.

The previous prime is 73479163. The next prime is 73479173. The reversal of 73479168 is 86197437.

It is an interprime number because it is at equal distance from previous prime (73479163) and next prime (73479173).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (254016) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73479163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096671 + ... + 1096737.

Almost surely, 2^73479168 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 73479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130287456).

73479168 is an abundant number, since it is smaller than the sum of its proper divisors (187095744).

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

73479168 is a wasteful number, since it uses less digits than its factorization.

73479168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 73479168 is about 8571.9990667288. Note that the first 3 decimals coincide. The cubic root of 73479168 is about 418.8463579250.

The spelling of 73479168 in words is "seventy-three million, four hundred seventy-nine thousand, one hundred sixty-eight".