11523072 has 132 divisors (see below), whose sum is σ = 34848128. Its totient is φ = 3379200.

The previous prime is 11523067. The next prime is 11523073. The reversal of 11523072 is 27032511.

It is a tau number, because it is divible by the number of its divisors (132).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11523073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371697 + ... + 371727.

Almost surely, 2^11523072 is an apocalyptic number.

11523072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11523072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424064).

11523072 is an abundant number, since it is smaller than the sum of its proper divisors (23325056).

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

11523072 is a wasteful number, since it uses less digits than its factorization.

11523072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 11523072 is about 3394.5650678695. The cubic root of 11523072 is about 225.8687205825.

Adding to 11523072 its reverse (27032511), we get a palindrome (38555583).

It can be divided in two parts, 1152 and 3072, that added together give a palindrome (4224).

The spelling of 11523072 in words is "eleven million, five hundred twenty-three thousand, seventy-two".