12737268 has 18 divisors (see below), whose sum is σ = 32197074. Its totient is φ = 4245744.

The previous prime is 12737243. The next prime is 12737269. The reversal of 12737268 is 86273721.

12737268 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 can be written as a sum of positive squares in only one way, i.e., 12236004 + 501264 = 3498^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×12737268² = 324475992207648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 353813 = 12737268 / (1 + 2 + 7 + 3 + 7 + 2 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12737269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176871 + ... + 176942.

Almost surely, 2^12737268 is an apocalyptic number.

12737268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12737268 is an abundant number, since it is smaller than the sum of its proper divisors (19459806).

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

12737268 is a wasteful number, since it uses less digits than its factorization.

12737268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353823 (or 353818 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 12737268 is about 3568.9309323662. The cubic root of 12737268 is about 233.5386483109.

The spelling of 12737268 in words is "twelve million, seven hundred thirty-seven thousand, two hundred sixty-eight".