11633072 has 40 divisors (see below), whose sum is σ = 24803472. Its totient is φ = 5241600.

The previous prime is 11633071. The next prime is 11633077. The reversal of 11633072 is 27033611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11633071) 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, 27422 + ... + 27842.

Almost surely, 2^11633072 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 11633072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401736).

11633072 is an abundant number, since it is smaller than the sum of its proper divisors (13170400).

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

11633072 is a wasteful number, since it uses less digits than its factorization.

11633072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 11633072 is about 3410.7289543439. The cubic root of 11633072 is about 226.5851648543.

Adding to 11633072 its reverse (27033611), we get a palindrome (38666683).

The spelling of 11633072 in words is "eleven million, six hundred thirty-three thousand, seventy-two".