12727152 has 80 divisors (see below), whose sum is σ = 38702880. Its totient is φ = 3990528.

The previous prime is 12727147. The next prime is 12727171. The reversal of 12727152 is 25172721.

It is a super-2 number, since 2×12727152² = 323960796062208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 6478 + ... + 8210.

It is an arithmetic number, because the mean of its divisors is an integer number (483786).

Almost surely, 2^12727152 is an apocalyptic number.

12727152 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 12727152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19351440).

12727152 is an abundant number, since it is smaller than the sum of its proper divisors (25975728).

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

12727152 is a wasteful number, since it uses less digits than its factorization.

12727152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1755 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 12727152 is about 3567.5134197365. The cubic root of 12727152 is about 233.4768060940.

Adding to 12727152 its reverse (25172721), we get a palindrome (37899873).

The spelling of 12727152 in words is "twelve million, seven hundred twenty-seven thousand, one hundred fifty-two".