74352168 has 224 divisors, whose sum is σ = 243957600. Its totient is φ = 20995200.

The previous prime is 74352151. The next prime is 74352191. The reversal of 74352168 is 86125347.

74352168 is a `hidden beast` number, since 7 + 435 + 216 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (96).

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 55 ways as a sum of consecutive naturals, for example, 1218858 + ... + 1218918.

Almost surely, 2^74352168 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 74352168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121978800).

74352168 is an abundant number, since it is smaller than the sum of its proper divisors (169605432).

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

74352168 is a wasteful number, since it uses less digits than its factorization.

74352168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 74352168 is about 8622.7703204945. The cubic root of 74352168 is about 420.4985915499.

The spelling of 74352168 in words is "seventy-four million, three hundred fifty-two thousand, one hundred sixty-eight".