11353672 has 48 divisors (see below), whose sum is σ = 24107580. Its totient is φ = 5005440.

The previous prime is 11353627. The next prime is 11353687. The reversal of 11353672 is 27635311.

11353672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11329956 + 23716 = 3366^2 + 154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11353672.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35658 + ... + 35974.

Almost surely, 2^11353672 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 11353672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053790).

11353672 is an abundant number, since it is smaller than the sum of its proper divisors (12753908).

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

11353672 is a wasteful number, since it uses less digits than its factorization.

11353672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 11353672 is about 3369.5210342124. The cubic root of 11353672 is about 224.7564244764.

Adding to 11353672 its reverse (27635311), we get a palindrome (38988983).

The spelling of 11353672 in words is "eleven million, three hundred fifty-three thousand, six hundred seventy-two".