74367216 has 240 divisors, whose sum is σ = 273911040. Its totient is φ = 18247680.

The previous prime is 74367193. The next prime is 74367229. The reversal of 74367216 is 61276347.

74367216 is a `hidden beast` number, since 7 + 436 + 7 + 216 = 666.

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

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210496 + ... + 210848.

It is an arithmetic number, because the mean of its divisors is an integer number (1141296).

Almost surely, 2^74367216 is an apocalyptic number.

74367216 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 74367216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136955520).

74367216 is an abundant number, since it is smaller than the sum of its proper divisors (199543824).

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

74367216 is a wasteful number, since it uses less digits than its factorization.

74367216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 74367216 is about 8623.6428497474. The cubic root of 74367216 is about 420.5269576179.

The spelling of 74367216 in words is "seventy-four million, three hundred sixty-seven thousand, two hundred sixteen".