74305728 has 112 divisors (see below), whose sum is σ = 249692160. Its totient is φ = 21226752.

The previous prime is 74305727. The next prime is 74305733. The reversal of 74305728 is 82750347.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 74305692 and 74305701.

It is not an unprimeable number, because it can be changed into a prime (74305727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9025 + ... + 15167.

Almost surely, 2^74305728 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 74305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124846080).

74305728 is an abundant number, since it is smaller than the sum of its proper divisors (175386432).

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

74305728 is a wasteful number, since it uses less digits than its factorization.

74305728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 74305728 is about 8620.0770298182. The cubic root of 74305728 is about 420.4110261961.

The spelling of 74305728 in words is "seventy-four million, three hundred five thousand, seven hundred twenty-eight".