272193074560 has 256 divisors, whose sum is σ = 735833548800. Its totient is φ = 95385600000.

The previous prime is 272193074537. The next prime is 272193074561. The reversal of 272193074560 is 65470391272.

It is a self number, because there is not a number n which added to its sum of digits gives 272193074560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272193074561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54775756 + ... + 54780724.

It is an arithmetic number, because the mean of its divisors is an integer number (2874349800).

Almost surely, 2^272193074560 is an apocalyptic number.

272193074560 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 272193074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367916774400).

272193074560 is an abundant number, since it is smaller than the sum of its proper divisors (463640474240).

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

272193074560 is a wasteful number, since it uses less digits than its factorization.

272193074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 272193074560 in words is "two hundred seventy-two billion, one hundred ninety-three million, seventy-four thousand, five hundred sixty".