74200224 has 96 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 20984832.

The previous prime is 74200213. The next prime is 74200249. The reversal of 74200224 is 42200247.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 74200224.

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, 72742 + ... + 73754.

It is an arithmetic number, because the mean of its divisors is an integer number (2342340).

Almost surely, 2^74200224 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 74200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

74200224 is an abundant number, since it is smaller than the sum of its proper divisors (150664416).

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

74200224 is a wasteful number, since it uses less digits than its factorization.

74200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 74200224 is about 8613.9551891103. The cubic root of 74200224 is about 420.2119565084.

The spelling of 74200224 in words is "seventy-four million, two hundred thousand, two hundred twenty-four".