74221728 has 192 divisors, whose sum is σ = 241678080. Its totient is φ = 19464192.

The previous prime is 74221723. The next prime is 74221747. The reversal of 74221728 is 82712247.

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

It is not an unprimeable number, because it can be changed into a prime (74221723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833908 + ... + 833996.

It is an arithmetic number, because the mean of its divisors is an integer number (1258740).

Almost surely, 2^74221728 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 74221728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

74221728 is an abundant number, since it is smaller than the sum of its proper divisors (167456352).

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

74221728 is a wasteful number, since it uses less digits than its factorization.

74221728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 74221728 is about 8615.2033057845. The cubic root of 74221728 is about 420.2525465257.

The spelling of 74221728 in words is "seventy-four million, two hundred twenty-one thousand, seven hundred twenty-eight".