12772500 has 120 divisors (see below), whose sum is σ = 40412064. Its totient is φ = 3120000.

The previous prime is 12772493. The next prime is 12772519. The reversal of 12772500 is 527721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97435 + ... + 97565.

Almost surely, 2^12772500 is an apocalyptic number.

12772500 is a gapful number since it is divisible by the number (10) 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 12772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206032).

12772500 is an abundant number, since it is smaller than the sum of its proper divisors (27639564).

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

12772500 is a wasteful number, since it uses less digits than its factorization.

12772500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 12772500 is about 3573.8634557017. The cubic root of 12772500 is about 233.7537770940.

It can be divided in two parts, 127 and 72500, that added together give a palindrome (72627).

The spelling of 12772500 in words is "twelve million, seven hundred seventy-two thousand, five hundred".