11672720 has 40 divisors (see below), whose sum is σ = 27661176. Its totient is φ = 4579328.

The previous prime is 11672719. The next prime is 11672767. The reversal of 11672720 is 2727611.

It can be written as a sum of positive squares in 4 ways, for example, as 4787344 + 6885376 = 2188^2 + 2624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11672720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2864 + ... + 5616.

Almost surely, 2^11672720 is an apocalyptic number.

11672720 is a gapful number since it is divisible by the number (10) 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 11672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830588).

11672720 is an abundant number, since it is smaller than the sum of its proper divisors (15988456).

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

11672720 is a wasteful number, since it uses less digits than its factorization.

11672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 11672720 is about 3416.5362576738. The cubic root of 11672720 is about 226.8422898805.

The spelling of 11672720 in words is "eleven million, six hundred seventy-two thousand, seven hundred twenty".