73127315600 has 120 divisors (see below), whose sum is σ = 186136789608. Its totient is φ = 27513446400.

The previous prime is 73127315579. The next prime is 73127315683. The reversal of 73127315600 is 651372137.

It can be written as a sum of positive squares in 12 ways, for example, as 3998285824 + 69129029776 = 63232^2 + 262924^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20649830 + ... + 20653370.

Almost surely, 2^73127315600 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 73127315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93068394804).

73127315600 is an abundant number, since it is smaller than the sum of its proper divisors (113009474008).

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

73127315600 is a wasteful number, since it uses less digits than its factorization.

73127315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

Adding to 73127315600 its reverse (651372137), we get a palindrome (73778687737).

The spelling of 73127315600 in words is "seventy-three billion, one hundred twenty-seven million, three hundred fifteen thousand, six hundred".