272781828 has 72 divisors (see below), whose sum is σ = 755104896. Its totient is φ = 82344000.

The previous prime is 272781799. The next prime is 272781833. The reversal of 272781828 is 828187272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114853 + ... + 117203.

It is an arithmetic number, because the mean of its divisors is an integer number (10487568).

Almost surely, 2^272781828 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 272781828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377552448).

272781828 is an abundant number, since it is smaller than the sum of its proper divisors (482323068).

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

272781828 is a wasteful number, since it uses less digits than its factorization.

272781828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2660 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 272781828 is about 16516.1081372096. The cubic root of 272781828 is about 648.5425554349.

The spelling of 272781828 in words is "two hundred seventy-two million, seven hundred eighty-one thousand, eight hundred twenty-eight".