123272 has 16 divisors (see below), whose sum is σ = 243600. Its totient is φ = 58320.

The previous prime is 123269. The next prime is 123289. The reversal of 123272 is 272321.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 123272.

It is an unprimeable 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, 254 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (15225).

2¹²³²⁷² is an apocalyptic number.

It is an amenable number.

123272 is a deficient number, since it is larger than the sum of its proper divisors (120328).

123272 is a wasteful number, since it uses less digits than its factorization.

123272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its digits is 168, while the sum is 17.

The square root of 123272 is about 351.1011250338. The cubic root of 123272 is about 49.7685300872.

Adding to 123272 its reverse (272321), we get a palindrome (395593).

The spelling of 123272 in words is "one hundred twenty-three thousand, two hundred seventy-two", and thus it is an iban number.