74186224 has 80 divisors (see below), whose sum is σ = 177131520. Its totient is φ = 29399040.

The previous prime is 74186213. The next prime is 74186227. The reversal of 74186224 is 42268147.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 74186224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74186227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79392 + ... + 80320.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 2^74186224 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 74186224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565760).

74186224 is an abundant number, since it is smaller than the sum of its proper divisors (102945296).

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

74186224 is a wasteful number, since it uses less digits than its factorization.

74186224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 74186224 is about 8613.1425159462. The cubic root of 74186224 is about 420.1855265010.

The spelling of 74186224 in words is "seventy-four million, one hundred eighty-six thousand, two hundred twenty-four".