72800328000 has 224 divisors, whose sum is σ = 244332361728. Its totient is φ = 19094784000.

The previous prime is 72800327921. The next prime is 72800328067. The reversal of 72800328000 is 82300827.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439137 + ... + 1488863.

It is an arithmetic number, because the mean of its divisors is an integer number (1090769472).

Almost surely, 2^72800328000 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 72800328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122166180864).

72800328000 is an abundant number, since it is smaller than the sum of its proper divisors (171532033728).

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

72800328000 is a wasteful number, since it uses less digits than its factorization.

72800328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49818 (or 49798 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 72800328000 its reverse (82300827), we get a palindrome (72882628827).

The spelling of 72800328000 in words is "seventy-two billion, eight hundred million, three hundred twenty-eight thousand".