72727401603300 has 144 divisors (see below), whose sum is σ = 213881206060032. Its totient is φ = 19075414809600.

The previous prime is 72727401603293. The next prime is 72727401603401. The reversal of 72727401603300 is 330610472727.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 894042429 + ... + 894123771.

Almost surely, 2^{72727401603300} 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 72727401603300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106940603030016).

72727401603300 is an abundant number, since it is smaller than the sum of its proper divisors (141153804456732).

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

72727401603300 is a wasteful number, since it uses less digits than its factorization.

72727401603300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130278 (or 130271 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 72727401603300 in words is "seventy-two trillion, seven hundred twenty-seven billion, four hundred one million, six hundred three thousand, three hundred".