73018382112 has 144 divisors (see below), whose sum is σ = 223739039160. Its totient is φ = 22455115776.

The previous prime is 73018382089. The next prime is 73018382257. The reversal of 73018382112 is 21128381037.

It can be written as a sum of positive squares in 4 ways, for example, as 46567913616 + 26450468496 = 215796^2 + 162636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9045214 + ... + 9053282.

Almost surely, 2^73018382112 is an apocalyptic number.

73018382112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73018382112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111869519580).

73018382112 is an abundant number, since it is smaller than the sum of its proper divisors (150720657048).

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

73018382112 is a wasteful number, since it uses less digits than its factorization.

73018382112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 73018382112 in words is "seventy-three billion, eighteen million, three hundred eighty-two thousand, one hundred twelve".