272817216 has 168 divisors, whose sum is σ = 907231104. Its totient is φ = 76769280.

The previous prime is 272817211. The next prime is 272817217. The reversal of 272817216 is 612718272.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (272817211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285796 + ... + 286748.

Almost surely, 2^272817216 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 272817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453615552).

272817216 is an abundant number, since it is smaller than the sum of its proper divisors (634413888).

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

272817216 is a wasteful number, since it uses less digits than its factorization.

272817216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1036 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 272817216 is about 16517.1794202279. The cubic root of 272817216 is about 648.5705993748.

The spelling of 272817216 in words is "two hundred seventy-two million, eight hundred seventeen thousand, two hundred sixteen".