73280000000 has 208 divisors, whose sum is σ = 183977068080. Its totient is φ = 29184000000.

The previous prime is 73279999997. The next prime is 73280000113. The reversal of 73280000000 is 8237.

It can be written as a sum of positive squares in 8 ways, for example, as 69257396224 + 4022603776 = 263168^2 + 63424^2 .

It is a hoax number, since the sum of its digits (20) 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 (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 319999886 + ... + 320000114.

It is an arithmetic number, because the mean of its divisors is an integer number (884505135).

Almost surely, 2^73280000000 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 73280000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91988534040).

73280000000 is an abundant number, since it is smaller than the sum of its proper divisors (110697068080).

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

73280000000 is an frugal number, since it uses more digits than its factorization.

73280000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 73280000000 its reverse (8237), we get a palindrome (73280008237).

The spelling of 73280000000 in words is "seventy-three billion, two hundred eighty million", and thus it is an aban number.