272688 has 80 divisors (see below), whose sum is σ = 833280. Its totient is φ = 76032.

The previous prime is 272683. The next prime is 272693. The reversal of 272688 is 886272.

272688 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (272683) and next prime (272693).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272688.

It is not an unprimeable number, because it can be changed into a prime (272683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11845 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2²⁷²⁶⁸⁸ 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 272688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

272688 is an abundant number, since it is smaller than the sum of its proper divisors (560592).

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

272688 is a wasteful number, since it uses less digits than its factorization.

272688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 272688 is about 522.1953657397. The cubic root of 272688 is about 64.8468187787.

The spelling of 272688 in words is "two hundred seventy-two thousand, six hundred eighty-eight".