272468275200 has 1872 divisors, whose sum is σ = 1197369553920. Its totient is φ = 60162048000.

The previous prime is 272468275193. The next prime is 272468275201. The reversal of 272468275200 is 2572864272.

272468275200 is a `hidden beast` number, since 2 + 7 + 2 + 46 + 82 + 7 + 520 + 0 = 666.

272468275200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272468275201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8789299185 + ... + 8789299215.

Almost surely, 2^272468275200 is an apocalyptic number.

272468275200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272468275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598684776960).

272468275200 is an abundant number, since it is smaller than the sum of its proper divisors (924901278720).

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

272468275200 is a wasteful number, since it uses less digits than its factorization.

272468275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 272468275200 in words is "two hundred seventy-two billion, four hundred sixty-eight million, two hundred seventy-five thousand, two hundred".