12772576 has 48 divisors (see below), whose sum is σ = 27188784. Its totient is φ = 5883904.

The previous prime is 12772553. The next prime is 12772597. The reversal of 12772576 is 67527721.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28611 + ... + 29053.

It is an arithmetic number, because the mean of its divisors is an integer number (566433).

Almost surely, 2^12772576 is an apocalyptic number.

12772576 is a gapful number since it is divisible by the number (16) 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 12772576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594392).

12772576 is an abundant number, since it is smaller than the sum of its proper divisors (14416208).

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

12772576 is a wasteful number, since it uses less digits than its factorization.

12772576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its digits is 41160, while the sum is 37.

The square root of 12772576 is about 3573.8740884368. The cubic root of 12772576 is about 233.7542407268.

The spelling of 12772576 in words is "twelve million, seven hundred seventy-two thousand, five hundred seventy-six".