11865672 has 96 divisors (see below), whose sum is σ = 39574080. Its totient is φ = 3127680.

The previous prime is 11865649. The next prime is 11865673. The reversal of 11865672 is 27656811.

11865672 is a `hidden beast` number, since 11 + 86 + 567 + 2 = 666.

It is a super-3 number, since 3×11865672³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11865673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5647 + ... + 7457.

It is an arithmetic number, because the mean of its divisors is an integer number (412230).

Almost surely, 2^11865672 is an apocalyptic number.

11865672 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 11865672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19787040).

11865672 is an abundant number, since it is smaller than the sum of its proper divisors (27708408).

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

11865672 is a wasteful number, since it uses less digits than its factorization.

11865672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1836 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 11865672 is about 3444.6584736371. The cubic root of 11865672 is about 228.0853789199.

The spelling of 11865672 in words is "eleven million, eight hundred sixty-five thousand, six hundred seventy-two".