272304 has 60 divisors (see below), whose sum is σ = 799552. Its totient is φ = 86400.

The previous prime is 272299. The next prime is 272317. The reversal of 272304 is 403272.

272304 = T₆₁ + T₆₂ + ... + T₁₂₂.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4434 + ... + 4494.

2²⁷²³⁰⁴ is an apocalyptic number.

272304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399776).

272304 is an abundant number, since it is smaller than the sum of its proper divisors (527248).

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

272304 is a wasteful number, since it uses less digits than its factorization.

272304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 272304 is about 521.8275577238. The cubic root of 272304 is about 64.8163653224.

Adding to 272304 its reverse (403272), we get a palindrome (675576).

It can be divided in two parts, 272 and 304, that added together give a square (576 = 24²).

The spelling of 272304 in words is "two hundred seventy-two thousand, three hundred four", and thus it is an iban number.