12777732 has 72 divisors (see below), whose sum is σ = 36140832. Its totient is φ = 3772800.

The previous prime is 12777703. The next prime is 12777763. The reversal of 12777732 is 23777721.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15843 + ... + 16629.

It is an arithmetic number, because the mean of its divisors is an integer number (501956).

Almost surely, 2^12777732 is an apocalyptic number.

12777732 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 12777732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070416).

12777732 is an abundant number, since it is smaller than the sum of its proper divisors (23363100).

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

12777732 is a wasteful number, since it uses less digits than its factorization.

12777732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 844 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 12777732 is about 3574.5953617158. The cubic root of 12777732 is about 233.7856902618.

It can be divided in two parts, 1277 and 7732, that added together give a palindrome (9009).

The spelling of 12777732 in words is "twelve million, seven hundred seventy-seven thousand, seven hundred thirty-two".