74368224 has 144 divisors (see below), whose sum is σ = 248478048. Its totient is φ = 20653056.

The previous prime is 74368213. The next prime is 74368243. The reversal of 74368224 is 42286347.

74368224 is a `hidden beast` number, since 74 + 368 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74094 + ... + 75090.

It is an arithmetic number, because the mean of its divisors is an integer number (1725542).

Almost surely, 2^74368224 is an apocalyptic number.

74368224 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74368224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124239024).

74368224 is an abundant number, since it is smaller than the sum of its proper divisors (174109824).

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

74368224 is a wasteful number, since it uses less digits than its factorization.

74368224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1046 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 74368224 is about 8623.7012935282. The cubic root of 74368224 is about 420.5288576006.

The spelling of 74368224 in words is "seventy-four million, three hundred sixty-eight thousand, two hundred twenty-four".