74084224 has 32 divisors (see below), whose sum is σ = 148605840. Its totient is φ = 36787200.

The previous prime is 74084221. The next prime is 74084233. The reversal of 74084224 is 42248047.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74084221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17412 + ... + 21244.

Almost surely, 2^74084224 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 74084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74302920).

74084224 is an abundant number, since it is smaller than the sum of its proper divisors (74521616).

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

74084224 is a wasteful number, since it uses less digits than its factorization.

74084224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 74084224 is about 8607.2192954519. The cubic root of 74084224 is about 419.9928645802.

The spelling of 74084224 in words is "seventy-four million, eighty-four thousand, two hundred twenty-four".