74430752 has 96 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 30931200.

The previous prime is 74430701. The next prime is 74430757. The reversal of 74430752 is 25703447.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (74430757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207149 + ... + 207507.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^74430752 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 74430752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

74430752 is an abundant number, since it is smaller than the sum of its proper divisors (99751648).

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

74430752 is a wasteful number, since it uses less digits than its factorization.

74430752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 74430752 is about 8627.3258892892. The cubic root of 74430752 is about 420.6466832926.

The spelling of 74430752 in words is "seventy-four million, four hundred thirty thousand, seven hundred fifty-two".