11971672 has 64 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 5160960.

The previous prime is 11971669. The next prime is 11971679. The reversal of 11971672 is 27617911.

11971672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (5292) is a multiple of the sum of its prime factors (196).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11971679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105888 + ... + 106000.

Almost surely, 2^11971672 is an apocalyptic number.

It is an amenable number.

11971672 is an abundant number, since it is smaller than the sum of its proper divisors (13883528).

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

11971672 is a wasteful number, since it uses less digits than its factorization.

11971672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 5292, while the sum is 34.

The square root of 11971672 is about 3460.0104046086. The cubic root of 11971672 is about 228.7625539807.

The spelling of 11971672 in words is "eleven million, nine hundred seventy-one thousand, six hundred seventy-two".