74053008 has 160 divisors (see below), whose sum is σ = 230342400. Its totient is φ = 22708224.

The previous prime is 74052997. The next prime is 74053033. The reversal of 74053008 is 80035047.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 288016 + ... + 288272.

It is an arithmetic number, because the mean of its divisors is an integer number (1439640).

Almost surely, 2^74053008 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 74053008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115171200).

74053008 is an abundant number, since it is smaller than the sum of its proper divisors (156289392).

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

74053008 is a wasteful number, since it uses less digits than its factorization.

74053008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 74053008 is about 8605.4057429037. The cubic root of 74053008 is about 419.9338671383.

The spelling of 74053008 in words is "seventy-four million, fifty-three thousand, eight".