272972916 has 60 divisors (see below), whose sum is σ = 731045700. Its totient is φ = 88767360.

The previous prime is 272972899. The next prime is 272972929. The reversal of 272972916 is 619279272.

272972916 is a `hidden beast` number, since 272 + 97 + 291 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147622500 + 125350416 = 12150^2 + 11196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3010 + ... + 23558.

It is an arithmetic number, because the mean of its divisors is an integer number (12184095).

Almost surely, 2^272972916 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 272972916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365522850).

272972916 is an abundant number, since it is smaller than the sum of its proper divisors (458072784).

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

272972916 is a wasteful number, since it uses less digits than its factorization.

272972916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20606 (or 20595 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 272972916 is about 16521.8920224047. The cubic root of 272972916 is about 648.6939582049.

The spelling of 272972916 in words is "two hundred seventy-two million, nine hundred seventy-two thousand, nine hundred sixteen".