74248224 has 96 divisors (see below), whose sum is σ = 204986880. Its totient is φ = 23500800.

The previous prime is 74248211. The next prime is 74248243. The reversal of 74248224 is 42284247.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181332 + ... + 181740.

It is an arithmetic number, because the mean of its divisors is an integer number (2135280).

Almost surely, 2^74248224 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 74248224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102493440).

74248224 is an abundant number, since it is smaller than the sum of its proper divisors (130738656).

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

74248224 is a wasteful number, since it uses less digits than its factorization.

74248224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its digits is 28672, while the sum is 33.

The square root of 74248224 is about 8616.7409152185. The cubic root of 74248224 is about 420.3025484458.

The spelling of 74248224 in words is "seventy-four million, two hundred forty-eight thousand, two hundred twenty-four".