12078432 has 72 divisors (see below), whose sum is σ = 36383256. Its totient is φ = 3787776.

The previous prime is 12078431. The next prime is 12078439. The reversal of 12078432 is 23487021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 12078396 and 12078405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12078431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3663 + ... + 6129.

It is an arithmetic number, because the mean of its divisors is an integer number (505323).

Almost surely, 2^12078432 is an apocalyptic number.

12078432 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 12078432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18191628).

12078432 is an abundant number, since it is smaller than the sum of its proper divisors (24304824).

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

12078432 is a wasteful number, since it uses less digits than its factorization.

12078432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12078432 is about 3475.4038614239. The cubic root of 12078432 is about 229.4405558946.

The spelling of 12078432 in words is "twelve million, seventy-eight thousand, four hundred thirty-two".