11472 has 20 divisors (see below), whose sum is σ = 29760. Its totient is φ = 3808.

The previous prime is 11471. The next prime is 11483. The reversal of 11472 is 27411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

2¹¹⁴⁷² is an apocalyptic number.

11472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11472 is an abundant number, since it is smaller than the sum of its proper divisors (18288).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880).

11472 is a wasteful number, since it uses less digits than its factorization.

11472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 11472 is about 107.1074227120. The cubic root of 11472 is about 22.5534531579.

Adding to 11472 its reverse (27411), we get a palindrome (38883).

The spelling of 11472 in words is "eleven thousand, four hundred seventy-two", and thus it is an iban number.