11533072 has 40 divisors (see below), whose sum is σ = 23938200. Its totient is φ = 5363712.

The previous prime is 11533043. The next prime is 11533079. The reversal of 11533072 is 27033511.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 8856576 = 1636^2 + 2976^2 .

It is not an unprimeable number, because it can be changed into a prime (11533079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29454 + ... + 29842.

It is an arithmetic number, because the mean of its divisors is an integer number (598455).

Almost surely, 2^11533072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11533072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969100).

11533072 is an abundant number, since it is smaller than the sum of its proper divisors (12405128).

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

11533072 is a wasteful number, since it uses less digits than its factorization.

11533072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 11533072 is about 3396.0376911925. The cubic root of 11533072 is about 225.9340398000.

Adding to 11533072 its reverse (27033511), we get a palindrome (38566583).

It can be divided in two parts, 1153 and 3072, that added together give a square (4225 = 65²).

The spelling of 11533072 in words is "eleven million, five hundred thirty-three thousand, seventy-two".