73695112200 has 240 divisors, whose sum is σ = 271011175380. Its totient is φ = 18495959040.

The previous prime is 73695112189. The next prime is 73695112207. The reversal of 73695112200 is 221159637.

It can be written as a sum of positive squares in 6 ways, for example, as 22411886436 + 51283225764 = 149706^2 + 226458^2 .

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

It is not an unprimeable number, because it can be changed into a prime (73695112207) 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 59 ways as a sum of consecutive naturals, for example, 141604 + ... + 409196.

Almost surely, 2^73695112200 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 73695112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135505587690).

73695112200 is an abundant number, since it is smaller than the sum of its proper divisors (197316063180).

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

73695112200 is a wasteful number, since it uses less digits than its factorization.

73695112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267638 (or 267620 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 73695112200 in words is "seventy-three billion, six hundred ninety-five million, one hundred twelve thousand, two hundred".