74436160 has 56 divisors (see below), whose sum is σ = 177987960. Its totient is φ = 29650944.

The previous prime is 74436157. The next prime is 74436161. The reversal of 74436160 is 6163447.

It can be written as a sum of positive squares in 4 ways, for example, as 30558784 + 43877376 = 5528^2 + 6624^2 .

It is not an unprimeable number, because it can be changed into a prime (74436161) 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 7 ways as a sum of consecutive naturals, for example, 145986 + ... + 146494.

Almost surely, 2^74436160 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 74436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88993980).

74436160 is an abundant number, since it is smaller than the sum of its proper divisors (103551800).

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

74436160 is a wasteful number, since it uses less digits than its factorization.

74436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 74436160 is about 8627.6393063224. The cubic root of 74436160 is about 420.6568708478.

The spelling of 74436160 in words is "seventy-four million, four hundred thirty-six thousand, one hundred sixty".