272328 has 32 divisors (see below), whose sum is σ = 778560. Its totient is φ = 77760.

The previous prime is 272317. The next prime is 272329. The reversal of 272328 is 823272.

272328 is nontrivially palindromic in base 11.

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.

It is a junction number, because it is equal to n+sod(n) for n = 272298 and 272307.

It is not an unprimeable number, because it can be changed into a prime (272329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (24330).

2²⁷²³²⁸ is an apocalyptic number.

272328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

272328 is an abundant number, since it is smaller than the sum of its proper divisors (506232).

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

272328 is a wasteful number, since it uses less digits than its factorization.

272328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1633 counting only the distinct ones).

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

The square root of 272328 is about 521.8505533196. The cubic root of 272328 is about 64.8182695019.

The spelling of 272328 in words is "two hundred seventy-two thousand, three hundred twenty-eight".