12072240 has 180 divisors, whose sum is σ = 43930224. Its totient is φ = 3079296.

The previous prime is 12072211. The next prime is 12072241. The reversal of 12072240 is 4227021.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12072241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524869 + ... + 524891.

Almost surely, 2^12072240 is an apocalyptic number.

12072240 is a gapful number since it is divisible by the number (10) 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 12072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965112).

12072240 is an abundant number, since it is smaller than the sum of its proper divisors (31857984).

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

12072240 is an frugal number, since it uses more digits than its factorization.

12072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12072240 is about 3474.5129155034. The cubic root of 12072240 is about 229.4013416775.

Adding to 12072240 its reverse (4227021), we get a palindrome (16299261).

The spelling of 12072240 in words is "twelve million, seventy-two thousand, two hundred forty".