74032816 has 120 divisors (see below), whose sum is σ = 179720640. Its totient is φ = 29203200.

The previous prime is 74032813. The next prime is 74032817. The reversal of 74032816 is 61823047.

It is not an unprimeable number, because it can be changed into a prime (74032813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565071 + ... + 565201.

It is an arithmetic number, because the mean of its divisors is an integer number (1497672).

Almost surely, 2^74032816 is an apocalyptic number.

74032816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74032816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89860320).

74032816 is an abundant number, since it is smaller than the sum of its proper divisors (105687824).

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

74032816 is a wasteful number, since it uses less digits than its factorization.

74032816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 74032816 is about 8604.2324468833. The cubic root of 74032816 is about 419.8956959433.

The spelling of 74032816 in words is "seventy-four million, thirty-two thousand, eight hundred sixteen".