74128180 has 36 divisors (see below), whose sum is σ = 181086948. Its totient is φ = 25415040.

The previous prime is 74128163. The next prime is 74128183. The reversal of 74128180 is 8182147.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 15697444 = 7644^2 + 3962^2 .

It is a super-2 number, since 2×74128180² = 10989974140224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74128183) 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 11 ways as a sum of consecutive naturals, for example, 36841 + ... + 38800.

It is an arithmetic number, because the mean of its divisors is an integer number (5030193).

Almost surely, 2^74128180 is an apocalyptic number.

74128180 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74128180 is an abundant number, since it is smaller than the sum of its proper divisors (106958768).

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

74128180 is a wasteful number, since it uses less digits than its factorization.

74128180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75664 (or 75655 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 74128180 is about 8609.7723547141. The cubic root of 74128180 is about 420.0759122045.

The spelling of 74128180 in words is "seventy-four million, one hundred twenty-eight thousand, one hundred eighty".