12072564 has 60 divisors (see below), whose sum is σ = 36075424. Its totient is φ = 3448656.

The previous prime is 12072553. The next prime is 12072589. The reversal of 12072564 is 46527021.

12072564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 394 + ... + 4929.

Almost surely, 2^12072564 is an apocalyptic number.

12072564 is a gapful number since it is divisible by the number (14) 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 12072564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18037712).

12072564 is an abundant number, since it is smaller than the sum of its proper divisors (24002860).

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

12072564 is a wasteful number, since it uses less digits than its factorization.

12072564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12072564 is about 3474.5595404310. The cubic root of 12072564 is about 229.4033939166.

Adding to 12072564 its reverse (46527021), we get a palindrome (58599585).

The spelling of 12072564 in words is "twelve million, seventy-two thousand, five hundred sixty-four".