12073162752 has 480 divisors, whose sum is σ = 42477795360. Its totient is φ = 3344302080.

The previous prime is 12073162721. The next prime is 12073162757. The reversal of 12073162752 is 25726137021.

12073162752 is a `hidden beast` number, since 1 + 20 + 7 + 3 + 1 + 627 + 5 + 2 = 666.

It is a super-3 number, since 3×12073162752³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073162757) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42964852 + ... + 42965132.

It is an arithmetic number, because the mean of its divisors is an integer number (88495407).

Almost surely, 2^12073162752 is an apocalyptic number.

12073162752 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 12073162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21238897680).

12073162752 is an abundant number, since it is smaller than the sum of its proper divisors (30404632608).

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

12073162752 is an equidigital number, since it uses as much as digits as its factorization.

12073162752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 12073162752 its reverse (25726137021), we get a palindrome (37799299773).

The spelling of 12073162752 in words is "twelve billion, seventy-three million, one hundred sixty-two thousand, seven hundred fifty-two".