11203272 has 112 divisors (see below), whose sum is σ = 33642540. Its totient is φ = 3483648.

The previous prime is 11203253. The next prime is 11203273. The reversal of 11203272 is 27230211.

11203272 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 10850436 + 352836 = 3294^2 + 594^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203273) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 99088 + ... + 99200.

Almost surely, 2^11203272 is an apocalyptic number.

11203272 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 11203272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821270).

11203272 is an abundant number, since it is smaller than the sum of its proper divisors (22439268).

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

11203272 is a wasteful number, since it uses less digits than its factorization.

11203272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11203272 is about 3347.1289189393. The cubic root of 11203272 is about 223.7595740938.

Adding to 11203272 its reverse (27230211), we get a palindrome (38433483).

The spelling of 11203272 in words is "eleven million, two hundred three thousand, two hundred seventy-two".