11672472 has 128 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 3041280.

The previous prime is 11672467. The next prime is 11672491. The reversal of 11672472 is 27427611.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 174183 + ... + 174249.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 2^11672472 is an apocalyptic number.

11672472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3416×3417.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11672472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

11672472 is an abundant number, since it is smaller than the sum of its proper divisors (24753768).

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

11672472 is a wasteful number, since it uses less digits than its factorization.

11672472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 11672472 is about 3416.4999634128. The cubic root of 11672472 is about 226.8406833631.

The spelling of 11672472 in words is "eleven million, six hundred seventy-two thousand, four hundred seventy-two".