74016000 has 216 divisors, whose sum is σ = 267367464. Its totient is φ = 19660800.

The previous prime is 74015999. The next prime is 74016043. The reversal of 74016000 is 61047.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 72999936 = 1008^2 + 8544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287872 + ... + 288128.

Almost surely, 2^74016000 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 74016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133683732).

74016000 is an abundant number, since it is smaller than the sum of its proper divisors (193351464).

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

74016000 is a wasteful number, since it uses less digits than its factorization.

74016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 74016000 is about 8603.2551978888. The cubic root of 74016000 is about 419.8639014811.

Adding to 74016000 its reverse (61047), we get a palindrome (74077047).

The spelling of 74016000 in words is "seventy-four million, sixteen thousand".