72300081600 has 252 divisors, whose sum is σ = 266490459144. Its totient is φ = 19279918080.

The previous prime is 72300081589. The next prime is 72300081613. The reversal of 72300081600 is 618000327.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 295822 + ... + 481778.

It is an arithmetic number, because the mean of its divisors is an integer number (1057501822).

Almost surely, 2^72300081600 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 72300081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133245229572).

72300081600 is an abundant number, since it is smaller than the sum of its proper divisors (194190377544).

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

72300081600 is a wasteful number, since it uses less digits than its factorization.

72300081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185994 (or 185967 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 72300081600 its reverse (618000327), we get a palindrome (72918081927).

The spelling of 72300081600 in words is "seventy-two billion, three hundred million, eighty-one thousand, six hundred".