74045280 has 192 divisors, whose sum is σ = 256919040. Its totient is φ = 17842176.

The previous prime is 74045263. The next prime is 74045291. The reversal of 74045280 is 8254047.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 209584 + ... + 209936.

It is an arithmetic number, because the mean of its divisors is an integer number (1338120).

Almost surely, 2^74045280 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 74045280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128459520).

74045280 is an abundant number, since it is smaller than the sum of its proper divisors (182873760).

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

74045280 is a wasteful number, since it uses less digits than its factorization.

74045280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 74045280 is about 8604.9567111055. The cubic root of 74045280 is about 419.9192588557.

The spelling of 74045280 in words is "seventy-four million, forty-five thousand, two hundred eighty".