72727280800 has 36 divisors (see below), whose sum is σ = 177545476206. Its totient is φ = 29090912000.

The previous prime is 72727280783. The next prime is 72727280807. The reversal of 72727280800 is 808272727.

It can be written as a sum of positive squares in 3 ways, for example, as 52813555344 + 19913725456 = 229812^2 + 141116^2 .

It is not an unprimeable number, because it can be changed into a prime (72727280807) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 45453751 + ... + 45455350.

Almost surely, 2^72727280800 is an apocalyptic number.

It is an amenable number.

72727280800 is an abundant number, since it is smaller than the sum of its proper divisors (104818195406).

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

72727280800 is a wasteful number, since it uses less digits than its factorization.

72727280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90909121 (or 90909108 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 43.

The spelling of 72727280800 in words is "seventy-two billion, seven hundred twenty-seven million, two hundred eighty thousand, eight hundred".