11781672 has 64 divisors (see below), whose sum is σ = 35443200. Its totient is φ = 3188160.

The previous prime is 11781667. The next prime is 11781673. The reversal of 11781672 is 27618711.

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

It is not an unprimeable number, because it can be changed into a prime (11781673) 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 15 ways as a sum of consecutive naturals, for example, 1347 + ... + 5037.

It is an arithmetic number, because the mean of its divisors is an integer number (553800).

Almost surely, 2^11781672 is an apocalyptic number.

11781672 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 11781672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721600).

11781672 is an abundant number, since it is smaller than the sum of its proper divisors (23661528).

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

11781672 is a wasteful number, since it uses less digits than its factorization.

11781672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3722 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 11781672 is about 3432.4440272203. Note that the first 3 decimals coincide. The cubic root of 11781672 is about 227.5458797297.

It can be divided in two parts, 1178 and 1672, that added together give a triangular number (2850 = T₇₅).

The spelling of 11781672 in words is "eleven million, seven hundred eighty-one thousand, six hundred seventy-two".