11197872 has 180 divisors, whose sum is σ = 39086040. Its totient is φ = 3060288.

The previous prime is 11197847. The next prime is 11197873. The reversal of 11197872 is 27879111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (11197873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486853 + ... + 486875.

Almost surely, 2^11197872 is an apocalyptic number.

11197872 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 11197872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543020).

11197872 is an abundant number, since it is smaller than the sum of its proper divisors (27888168).

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

11197872 is a wasteful number, since it uses less digits than its factorization.

11197872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 35 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 11197872 is about 3346.3221602231. The cubic root of 11197872 is about 223.7236174588.

The spelling of 11197872 in words is "eleven million, one hundred ninety-seven thousand, eight hundred seventy-two".