272809728 has 144 divisors (see below), whose sum is σ = 835178400. Its totient is φ = 87736320.

The previous prime is 272809723. The next prime is 272809741. The reversal of 272809728 is 827908272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272809721) 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, 199768 + ... + 201128.

It is an arithmetic number, because the mean of its divisors is an integer number (5799850).

Almost surely, 2^272809728 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 272809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417589200).

272809728 is an abundant number, since it is smaller than the sum of its proper divisors (562368672).

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

272809728 is a wasteful number, since it uses less digits than its factorization.

272809728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 272809728 is about 16516.9527455884. The cubic root of 272809728 is about 648.5646655593.

It can be divided in two parts, 272 and 809728, that added together give a 4-th power (810000 = 30⁴).

The spelling of 272809728 in words is "two hundred seventy-two million, eight hundred nine thousand, seven hundred twenty-eight".