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11572 has 12 divisors (see below), whose sum is σ = 22176. Its totient is φ = 5240.

The previous prime is 11551. The next prime is 11579. The reversal of 11572 is 27511.

11572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×115722 = 267822368, which contains 22 as substring.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11579) by changing a digit.

11572 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, 88 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

211572 is an apocalyptic number.

11572 is the 88-th pentagonal number.

11572 is the 58-th centered heptagonal number.

It is an amenable number.

11572 is a deficient number, since it is larger than the sum of its proper divisors (10604).

11572 is a wasteful number, since it uses less digits than its factorization.

11572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its digits is 70, while the sum is 16.

The square root of 11572 is about 107.5732308709. The cubic root of 11572 is about 22.6187955475.

The spelling of 11572 in words is "eleven thousand, five hundred seventy-two".

Divisors: 1 2 4 11 22 44 263 526 1052 2893 5786 11572