12724500 has 96 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3187200.

The previous prime is 12724493. The next prime is 12724501. The reversal of 12724500 is 542721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12724501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25251 + ... + 25749.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 2^12724500 is an apocalyptic number.

12724500 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 12724500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

12724500 is an abundant number, since it is smaller than the sum of its proper divisors (26587500).

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

12724500 is a wasteful number, since it uses less digits than its factorization.

12724500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 12724500 is about 3567.1417129125. The cubic root of 12724500 is about 233.4605881818.

The spelling of 12724500 in words is "twelve million, seven hundred twenty-four thousand, five hundred".