74892384 has 288 divisors, whose sum is σ = 267170400. Its totient is φ = 20321280.

The previous prime is 74892359. The next prime is 74892421. The reversal of 74892384 is 48329847.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1227714 + ... + 1227774.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 2^74892384 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 74892384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).

74892384 is an abundant number, since it is smaller than the sum of its proper divisors (192278016).

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

74892384 is a wasteful number, since it uses less digits than its factorization.

74892384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 74892384 is about 8654.0385947834. The cubic root of 74892384 is about 421.5145319897.

The spelling of 74892384 in words is "seventy-four million, eight hundred ninety-two thousand, three hundred eighty-four".