272320 has 56 divisors (see below), whose sum is σ = 694944. Its totient is φ = 101376.

The previous prime is 272317. The next prime is 272329. The reversal of 272320 is 23272.

272320 = T₈₅ + T₈₆ + ... + T₁₃₀.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 272294 and 272303.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7342 + ... + 7378.

2²⁷²³²⁰ is an apocalyptic number.

272320 is a gapful number since it is divisible by the number (20) 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 272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472).

272320 is an abundant number, since it is smaller than the sum of its proper divisors (422624).

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

272320 is a wasteful number, since it uses less digits than its factorization.

272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 272320 is about 521.8428882336. The cubic root of 272320 is about 64.8176347879.

272320 divided by its sum of digits (16) gives a triangular number (17020 = T₁₈₄).

Adding to 272320 its reverse (23272), we get a palindrome (295592).

The spelling of 272320 in words is "two hundred seventy-two thousand, three hundred twenty", and thus it is an iban number.