272905216 has 88 divisors (see below), whose sum is σ = 589388616. Its totient is φ = 125829120.

The previous prime is 272905207. The next prime is 272905253. The reversal of 272905216 is 612509272.

It can be written as a sum of positive squares in 4 ways, for example, as 79138816 + 193766400 = 8896^2 + 13920^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061760 + ... + 1062016.

Almost surely, 2^272905216 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 272905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294694308).

272905216 is an abundant number, since it is smaller than the sum of its proper divisors (316483400).

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

272905216 is a wasteful number, since it uses less digits than its factorization.

272905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 272905216 is about 16519.8430985285. The cubic root of 272905216 is about 648.6403262516.

The spelling of 272905216 in words is "two hundred seventy-two million, nine hundred five thousand, two hundred sixteen".