74873160 has 96 divisors (see below), whose sum is σ = 252383040. Its totient is φ = 19963584.

The previous prime is 74873159. The next prime is 74873213. The reversal of 74873160 is 6137847.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5869 + ... + 13571.

It is an arithmetic number, because the mean of its divisors is an integer number (2628990).

Almost surely, 2^74873160 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 74873160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126191520).

74873160 is an abundant number, since it is smaller than the sum of its proper divisors (177509880).

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

74873160 is a wasteful number, since it uses less digits than its factorization.

74873160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7729 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 74873160 is about 8652.9278281978. The cubic root of 74873160 is about 421.4784629514.

The spelling of 74873160 in words is "seventy-four million, eight hundred seventy-three thousand, one hundred sixty".