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11272 = 231409

11272 has 8 divisors (see below), whose sum is σ = 21150. Its totient is φ = 5632.

The previous prime is 11261. The next prime is 11273. The reversal of 11272 is 27211.

Adding to 11272 its reverse (27211), we get a palindrome (38483).

It can be divided in two parts, 11 and 272, that multiplied together give a palindrome (2992).

It can be written as a sum of positive squares in only one way, i.e., 11236 + 36 = 106^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11273) by changing a digit.

11272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 697 + ... + 712.

211272 is an apocalyptic number.

It is an amenable number.

11272 is a deficient number, since it is larger than the sum of its proper divisors (9878).

11272 is a wasteful number, since it uses less digits than its factorization.

11272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1411 counting only the distinct ones).

The product of its digits is 28, while the sum is 13.

The square root of 11272 is about 106.1696755199. The cubic root of 11272 is about 22.4216202820.

The spelling of 11272 in words is "eleven thousand, two hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 8 1409 2818 5636 11272