74382768 has 60 divisors (see below), whose sum is σ = 209511640. Its totient is φ = 24634368.

The previous prime is 74382761. The next prime is 74382773. The reversal of 74382768 is 86728347.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (74382761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21888 + ... + 25056.

Almost surely, 2^74382768 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 74382768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755820).

74382768 is an abundant number, since it is smaller than the sum of its proper divisors (135128872).

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

74382768 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (74382767) it forms an eRAP, since the sums of their prime factors are consecutive (3345 and 3346).

74382768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3337 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 74382768 is about 8624.5445097118. The cubic root of 74382768 is about 420.5562697251.

The spelling of 74382768 in words is "seventy-four million, three hundred eighty-two thousand, seven hundred sixty-eight".