74003328 has 384 divisors, whose sum is σ = 279072000. Its totient is φ = 19160064.

The previous prime is 74003311. The next prime is 74003339. The reversal of 74003328 is 82330047.

74003328 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217525 + ... + 3217547.

It is an arithmetic number, because the mean of its divisors is an integer number (726750).

Almost surely, 2^74003328 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 74003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139536000).

74003328 is an abundant number, since it is smaller than the sum of its proper divisors (205068672).

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

74003328 is a wasteful number, since it uses less digits than its factorization.

74003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 74003328 is about 8602.5187009387. The cubic root of 74003328 is about 419.8399390089.

The spelling of 74003328 in words is "seventy-four million, three thousand, three hundred twenty-eight".