73285563136 has 144 divisors (see below), whose sum is σ = 159842108160. Its totient is φ = 33426821120.

The previous prime is 73285562971. The next prime is 73285563137. The reversal of 73285563136 is 63136558237.

It is a self number, because there is not a number n which added to its sum of digits gives 73285563136.

It is not an unprimeable number, because it can be changed into a prime (73285563137) 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 15 ways as a sum of consecutive naturals, for example, 14169831 + ... + 14175001.

It is an arithmetic number, because the mean of its divisors is an integer number (1110014640).

Almost surely, 2^73285563136 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 73285563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79921054080).

73285563136 is an abundant number, since it is smaller than the sum of its proper divisors (86556545024).

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

73285563136 is a wasteful number, since it uses less digits than its factorization.

73285563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5308 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

The spelling of 73285563136 in words is "seventy-three billion, two hundred eighty-five million, five hundred sixty-three thousand, one hundred thirty-six".