11272800 has 288 divisors, whose sum is σ = 46497024. Its totient is φ = 2304000.

The previous prime is 11272799. The next prime is 11272801. The reversal of 11272800 is 827211.

It is an interprime number because it is at equal distance from previous prime (11272799) and next prime (11272801).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184770 + ... + 184830.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^11272800 is an apocalyptic number.

11272800 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 11272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248512).

11272800 is an abundant number, since it is smaller than the sum of its proper divisors (35224224).

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

11272800 is a wasteful number, since it uses less digits than its factorization.

11272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 11272800 is about 3357.4990692478. The cubic root of 11272800 is about 224.2215070764.

The spelling of 11272800 in words is "eleven million, two hundred seventy-two thousand, eight hundred".