74863200 has 72 divisors (see below), whose sum is σ = 243687528. Its totient is φ = 19962880.

The previous prime is 74863199. The next prime is 74863207. The reversal of 74863200 is 236847.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74863207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13197 + ... + 17996.

It is an arithmetic number, because the mean of its divisors is an integer number (3384549).

Almost surely, 2^74863200 is an apocalyptic number.

It is an amenable number.

74863200 is an abundant number, since it is smaller than the sum of its proper divisors (168824328).

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

74863200 is a wasteful number, since it uses less digits than its factorization.

74863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31216 (or 31203 counting only the distinct ones).

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

The square root of 74863200 is about 8652.3522813163. The cubic root of 74863200 is about 421.4597730691.

The spelling of 74863200 in words is "seventy-four million, eight hundred sixty-three thousand, two hundred".