272116128 has 96 divisors (see below), whose sum is σ = 749855232. Its totient is φ = 86240000.

The previous prime is 272116123. The next prime is 272116133. The reversal of 272116128 is 821611272.

It is an interprime number because it is at equal distance from previous prime (272116123) and next prime (272116133).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 272116095 and 272116104.

It is not an unprimeable number, because it can be changed into a prime (272116121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553963 + ... + 554453.

It is an arithmetic number, because the mean of its divisors is an integer number (7810992).

Almost surely, 2^272116128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374927616).

272116128 is an abundant number, since it is smaller than the sum of its proper divisors (477739104).

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

272116128 is a wasteful number, since it uses less digits than its factorization.

272116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 272116128 is about 16495.9427739066. The cubic root of 272116128 is about 648.0145553810.

The spelling of 272116128 in words is "two hundred seventy-two million, one hundred sixteen thousand, one hundred twenty-eight".