272615728 has 80 divisors (see below), whose sum is σ = 667100160. Its totient is φ = 104832000.

The previous prime is 272615719. The next prime is 272615809. The reversal of 272615728 is 827516272.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95928 + ... + 98728.

It is an arithmetic number, because the mean of its divisors is an integer number (8338752).

Almost surely, 2^272615728 is an apocalyptic number.

272615728 is a gapful number since it is divisible by the number (28) 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 272615728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333550080).

272615728 is an abundant number, since it is smaller than the sum of its proper divisors (394484432).

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

272615728 is a wasteful number, since it uses less digits than its factorization.

272615728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2900 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 272615728 is about 16511.0789471797. The cubic root of 272615728 is about 648.4108936948.

The spelling of 272615728 in words is "two hundred seventy-two million, six hundred fifteen thousand, seven hundred twenty-eight".