11272300 has 108 divisors (see below), whose sum is σ = 28591920. Its totient is φ = 3843840.

The previous prime is 11272291. The next prime is 11272367. The reversal of 11272300 is 327211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388686 + ... + 388714.

It is an arithmetic number, because the mean of its divisors is an integer number (264740).

Almost surely, 2^11272300 is an apocalyptic number.

11272300 is a gapful number since it is divisible by the number (10) 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 11272300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295960).

11272300 is an abundant number, since it is smaller than the sum of its proper divisors (17319620).

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

11272300 is a wasteful number, since it uses less digits than its factorization.

11272300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 11272300 is about 3357.4246082377. The cubic root of 11272300 is about 224.2181919458.

Adding to 11272300 its reverse (327211), we get a palindrome (11599511).

It can be divided in two parts, 1127 and 2300, that multiplied together give a square (2592100 = 1610²).

The spelling of 11272300 in words is "eleven million, two hundred seventy-two thousand, three hundred".