11067672 has 128 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 2795520.

The previous prime is 11067653. The next prime is 11067673. The reversal of 11067672 is 27676011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11067673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97888 + ... + 98000.

It is an arithmetic number, because the mean of its divisors is an integer number (277020).

Almost surely, 2^11067672 is an apocalyptic number.

11067672 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 11067672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

11067672 is an abundant number, since it is smaller than the sum of its proper divisors (24390888).

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

11067672 is a wasteful number, since it uses less digits than its factorization.

11067672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 11067672 is about 3326.8110857096. The cubic root of 11067672 is about 222.8531411886.

It can be divided in two parts, 1106 and 7672, that added together give a palindrome (8778).

The spelling of 11067672 in words is "eleven million, sixty-seven thousand, six hundred seventy-two".