272832 has 84 divisors (see below), whose sum is σ = 868680. Its totient is φ = 75264.

The previous prime is 272813. The next prime is 272863. The reversal of 272832 is 238272.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 2⁴ + 7 + 8 + 2¹² + 3⁸ + 2¹⁸ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9394 + ... + 9422.

2²⁷²⁸³² 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 272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434340).

272832 is an abundant number, since it is smaller than the sum of its proper divisors (595848).

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

272832 is a wasteful number, since it uses less digits than its factorization.

272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 272832 is about 522.3332269730. Note that the first 3 decimals coincide. The cubic root of 272832 is about 64.8582314538.

The spelling of 272832 in words is "two hundred seventy-two thousand, eight hundred thirty-two".