74071680 has 128 divisors (see below), whose sum is σ = 238533120. Its totient is φ = 19550208.

The previous prime is 74071667. The next prime is 74071717. The reversal of 74071680 is 8617047.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×74071680² = 10973227556044800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332049 + ... + 332271.

It is an arithmetic number, because the mean of its divisors is an integer number (1863540).

Almost surely, 2^74071680 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 74071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119266560).

74071680 is an abundant number, since it is smaller than the sum of its proper divisors (164461440).

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

74071680 is a wasteful number, since it uses less digits than its factorization.

74071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 74071680 is about 8606.4905739796. The cubic root of 74071680 is about 419.9691587331.

The spelling of 74071680 in words is "seventy-four million, seventy-one thousand, six hundred eighty".