12078072 has 112 divisors (see below), whose sum is σ = 36069000. Its totient is φ = 3779136.

The previous prime is 12078049. The next prime is 12078097. The reversal of 12078072 is 27087021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 110754 + ... + 110862.

Almost surely, 2^12078072 is an apocalyptic number.

12078072 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 12078072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034500).

12078072 is an abundant number, since it is smaller than the sum of its proper divisors (23990928).

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

12078072 is a wasteful number, since it uses less digits than its factorization.

12078072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12078072 is about 3475.3520684961. The cubic root of 12078072 is about 229.4382763653.

The spelling of 12078072 in words is "twelve million, seventy-eight thousand, seventy-two".