272024 has 16 divisors (see below), whose sum is σ = 524400. Its totient is φ = 132192.

The previous prime is 272011. The next prime is 272029. The reversal of 272024 is 420272.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 271993 and 272011.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272024.

It is not an unprimeable number, because it can be changed into a prime (272029) by changing a digit.

272024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 164 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (32775).

2²⁷²⁰²⁴ is an apocalyptic number.

It is an amenable number.

272024 is a deficient number, since it is larger than the sum of its proper divisors (252376).

272024 is a wasteful number, since it uses less digits than its factorization.

272024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 272024 is about 521.5592008583. The cubic root of 272024 is about 64.7941416235.

Adding to 272024 its reverse (420272), we get a palindrome (692296).

It can be divided in two parts, 2720 and 24, that added together give a cube (2744 = 14³).

The spelling of 272024 in words is "two hundred seventy-two thousand, twenty-four", and thus it is an iban number.