74991168 has 126 divisors (see below), whose sum is σ = 250136406. Its totient is φ = 21417984.

The previous prime is 74991167. The next prime is 74991181. The reversal of 74991168 is 86119947.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 7225344 = 8232^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (74991167) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26896 + ... + 29552.

Almost surely, 2^74991168 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 74991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125068203).

74991168 is an abundant number, since it is smaller than the sum of its proper divisors (175145238).

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

74991168 is a wasteful number, since it uses less digits than its factorization.

74991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2669 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 74991168 is about 8659.7441070738. The cubic root of 74991168 is about 421.6997782293.

The spelling of 74991168 in words is "seventy-four million, nine hundred ninety-one thousand, one hundred sixty-eight".