272128327920 has 320 divisors, whose sum is σ = 946225152000. Its totient is φ = 71881426944.

The previous prime is 272128327897. The next prime is 272128327957. The reversal of 272128327920 is 29723821272.

272128327920 is a `hidden beast` number, since 27 + 212 + 8 + 327 + 92 + 0 = 666.

272128327920 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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 212765841 + ... + 212767119.

It is an arithmetic number, because the mean of its divisors is an integer number (2956953600).

Almost surely, 2^272128327920 is an apocalyptic number.

272128327920 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 272128327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473112576000).

272128327920 is an abundant number, since it is smaller than the sum of its proper divisors (674096824080).

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

272128327920 is a wasteful number, since it uses less digits than its factorization.

272128327920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 272128327920 in words is "two hundred seventy-two billion, one hundred twenty-eight million, three hundred twenty-seven thousand, nine hundred twenty".