74488128 has 112 divisors (see below), whose sum is σ = 231623616. Its totient is φ = 20828160.

The previous prime is 74488097. The next prime is 74488177. The reversal of 74488128 is 82188447.

It is a self number, because there is not a number n which added to its sum of digits gives 74488128.

It is a congruent number.

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, 26100 + ... + 28812.

It is an arithmetic number, because the mean of its divisors is an integer number (2068068).

Almost surely, 2^74488128 is an apocalyptic number.

74488128 is a gapful number since it is divisible by the number (78) 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 74488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115811808).

74488128 is an abundant number, since it is smaller than the sum of its proper divisors (157135488).

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

74488128 is a wasteful number, since it uses less digits than its factorization.

74488128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2742 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 74488128 is about 8630.6504969208. The cubic root of 74488128 is about 420.7547426834.

It can be divided in two parts, 7448 and 8128, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 74488128 in words is "seventy-four million, four hundred eighty-eight thousand, one hundred twenty-eight".