272071105397280 has 864 divisors, whose sum is σ = 1115624758929408. Its totient is φ = 60140595916800.

The previous prime is 272071105397183. The next prime is 272071105397297. The reversal of 272071105397280 is 82793501170272.

272071105397280 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 71 + 10 + 539 + 7 + 28 + 0 = 666.

It is a super-3 number, since 3×272071105397280³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3265686825 + ... + 3265770135.

It is an arithmetic number, because the mean of its divisors is an integer number (1291232359872).

Almost surely, 2^{272071105397280} is an apocalyptic number.

272071105397280 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 272071105397280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557812379464704).

272071105397280 is an abundant number, since it is smaller than the sum of its proper divisors (843553653532128).

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

272071105397280 is a wasteful number, since it uses less digits than its factorization.

272071105397280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84870 (or 84852 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 272071105397280 in words is "two hundred seventy-two trillion, seventy-one billion, one hundred five million, three hundred ninety-seven thousand, two hundred eighty".