272971728000 has 1024 divisors, whose sum is σ = 1065009254400. Its totient is φ = 68580864000.

The previous prime is 272971727999. The next prime is 272971728031. The reversal of 272971728000 is 827179272.

272971728000 is a `hidden beast` number, since 272 + 97 + 17 + 280 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 824687835 + ... + 824688165.

It is an arithmetic number, because the mean of its divisors is an integer number (1040048100).

Almost surely, 2^272971728000 is an apocalyptic number.

272971728000 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 272971728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532504627200).

272971728000 is an abundant number, since it is smaller than the sum of its proper divisors (792037526400).

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

272971728000 is a wasteful number, since it uses less digits than its factorization.

272971728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 272971728000 in words is "two hundred seventy-two billion, nine hundred seventy-one million, seven hundred twenty-eight thousand".