73085203200 has 648 divisors, whose sum is σ = 265020943824. Its totient is φ = 17675059200.

The previous prime is 73085203199. The next prime is 73085203201. The reversal of 73085203200 is 230258037.

It is an interprime number because it is at equal distance from previous prime (73085203199) and next prime (73085203201).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (73085203201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 313670284 + ... + 313670516.

It is an arithmetic number, because the mean of its divisors is an integer number (408982938).

Almost surely, 2^73085203200 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 73085203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132510471912).

73085203200 is an abundant number, since it is smaller than the sum of its proper divisors (191935740624).

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

73085203200 is a wasteful number, since it uses less digits than its factorization.

73085203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 73085203200 in words is "seventy-three billion, eighty-five million, two hundred three thousand, two hundred".