272128717464 has 96 divisors (see below), whose sum is σ = 726320286720. Its totient is φ = 84919413568.

The previous prime is 272128717447. The next prime is 272128717477. The reversal of 272128717464 is 464717821272.

It is a happy number.

272128717464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 368689 + ... + 824735.

It is an arithmetic number, because the mean of its divisors is an integer number (7565836320).

Almost surely, 2^272128717464 is an apocalyptic number.

272128717464 is a gapful number since it is divisible by the number (24) 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 272128717464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363160143360).

272128717464 is an abundant number, since it is smaller than the sum of its proper divisors (454191569256).

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

272128717464 is a wasteful number, since it uses less digits than its factorization.

272128717464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456149 (or 456122 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 51.

The spelling of 272128717464 in words is "two hundred seventy-two billion, one hundred twenty-eight million, seven hundred seventeen thousand, four hundred sixty-four".