12575520 has 192 divisors, whose sum is σ = 45722880. Its totient is φ = 3225600.

The previous prime is 12575513. The next prime is 12575527. The reversal of 12575520 is 2557521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12575513) and next prime (12575527).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12575527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177085 + ... + 177155.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^12575520 is an apocalyptic number.

12575520 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 12575520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

12575520 is an abundant number, since it is smaller than the sum of its proper divisors (33147360).

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

12575520 is a wasteful number, since it uses less digits than its factorization.

12575520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 12575520 is about 3546.1979640172. The cubic root of 12575520 is about 232.5458806437.

The spelling of 12575520 in words is "twelve million, five hundred seventy-five thousand, five hundred twenty".