73728000000 has 420 divisors, whose sum is σ = 266236338225. Its totient is φ = 19660800000.

The previous prime is 73727999987. The next prime is 73728000029. The reversal of 73728000000 is 82737.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 12572688384 + 61155311616 = 112128^2 + 247296^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=192000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14745599998 + ... + 14745600002.

Almost surely, 2^73728000000 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 73728000000

73728000000 is an abundant number, since it is smaller than the sum of its proper divisors (192508338225).

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

73728000000 is an frugal number, since it uses more digits than its factorization.

73728000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 73728000000 its reverse (82737), we get a palindrome (73728082737).

The spelling of 73728000000 in words is "seventy-three billion, seven hundred twenty-eight million", and thus it is an aban number.