74116224 has 288 divisors, whose sum is σ = 269827740. Its totient is φ = 19353600.

The previous prime is 74116223. The next prime is 74116241. The reversal of 74116224 is 42261147.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 705600 = 8568^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (74116223) 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 35 ways as a sum of consecutive naturals, for example, 733774 + ... + 733874.

Almost surely, 2^74116224 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 74116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134913870).

74116224 is an abundant number, since it is smaller than the sum of its proper divisors (195711516).

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

74116224 is a wasteful number, since it uses less digits than its factorization.

74116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 74116224 is about 8609.0779994143. The cubic root of 74116224 is about 420.0533265623.

The spelling of 74116224 in words is "seventy-four million, one hundred sixteen thousand, two hundred twenty-four".