11172672 has 168 divisors, whose sum is σ = 38990016. Its totient is φ = 2985984.

The previous prime is 11172671. The next prime is 11172673. The reversal of 11172672 is 27627111.

It is an interprime number because it is at equal distance from previous prime (11172671) and next prime (11172673).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11172671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68463 + ... + 68625.

Almost surely, 2^11172672 is an apocalyptic number.

11172672 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 11172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495008).

11172672 is an abundant number, since it is smaller than the sum of its proper divisors (27817344).

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

11172672 is a wasteful number, since it uses less digits than its factorization.

11172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 11172672 is about 3342.5547115941. The cubic root of 11172672 is about 223.5556668090. Note that the first 3 decimals are identical.

Adding to 11172672 its reverse (27627111), we get a palindrome (38799783).

The spelling of 11172672 in words is "eleven million, one hundred seventy-two thousand, six hundred seventy-two".