11673672 has 64 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 3731520.

The previous prime is 11673671. The next prime is 11673707. The reversal of 11673672 is 27637611.

It is not an unprimeable number, because it can be changed into a prime (11673671) 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 15 ways as a sum of consecutive naturals, for example, 89047 + ... + 89177.

It is an arithmetic number, because the mean of its divisors is an integer number (475200).

Almost surely, 2^11673672 is an apocalyptic number.

11673672 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 11673672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).

11673672 is an abundant number, since it is smaller than the sum of its proper divisors (18739128).

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

11673672 is a wasteful number, since it uses less digits than its factorization.

11673672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 11673672 is about 3416.6755772242. The cubic root of 11673672 is about 226.8484566234.

The spelling of 11673672 in words is "eleven million, six hundred seventy-three thousand, six hundred seventy-two".