74368200 has 192 divisors, whose sum is σ = 255519360. Its totient is φ = 17797120.

The previous prime is 74368181. The next prime is 74368201. The reversal of 74368200 is 286347.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (74368201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234442 + ... + 234758.

It is an arithmetic number, because the mean of its divisors is an integer number (1330830).

Almost surely, 2^74368200 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 74368200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127759680).

74368200 is an abundant number, since it is smaller than the sum of its proper divisors (181151160).

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

74368200 is a wasteful number, since it uses less digits than its factorization.

74368200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 74368200 is about 8623.6999020142. The cubic root of 74368200 is about 420.5288123631.

The spelling of 74368200 in words is "seventy-four million, three hundred sixty-eight thousand, two hundred".