74320224 has 48 divisors (see below), whose sum is σ = 212829120. Its totient is φ = 22520960.

The previous prime is 74320223. The next prime is 74320231. The reversal of 74320224 is 42202347.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 74320194 and 74320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74320223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34134 + ... + 36245.

It is an arithmetic number, because the mean of its divisors is an integer number (4433940).

Almost surely, 2^74320224 is an apocalyptic number.

It is an amenable number.

74320224 is an abundant number, since it is smaller than the sum of its proper divisors (138508896).

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

74320224 is a wasteful number, since it uses less digits than its factorization.

74320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70403 (or 70395 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 74320224 is about 8620.9178165669. The cubic root of 74320224 is about 420.4383631733.

The spelling of 74320224 in words is "seventy-four million, three hundred twenty thousand, two hundred twenty-four".