12165972 has 72 divisors (see below), whose sum is σ = 35171136. Its totient is φ = 3204864.

The previous prime is 12165953. The next prime is 12165983. The reversal of 12165972 is 27956121.

12165972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13768 + ... + 14624.

It is an arithmetic number, because the mean of its divisors is an integer number (488488).

Almost surely, 2^12165972 is an apocalyptic number.

12165972 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 12165972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585568).

12165972 is an abundant number, since it is smaller than the sum of its proper divisors (23005164).

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

12165972 is a wasteful number, since it uses less digits than its factorization.

12165972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 882 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 12165972 is about 3487.9753439496. The cubic root of 12165972 is about 229.9935221868.

The spelling of 12165972 in words is "twelve million, one hundred sixty-five thousand, nine hundred seventy-two".