12572960 has 48 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 4989696.

The previous prime is 12572909. The next prime is 12572969. The reversal of 12572960 is 6927521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12572969) 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 7 ways as a sum of consecutive naturals, for example, 28421 + ... + 28859.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 2^12572960 is an apocalyptic number.

12572960 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 12572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

12572960 is an abundant number, since it is smaller than the sum of its proper divisors (17364640).

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

12572960 is a wasteful number, since it uses less digits than its factorization.

12572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 12572960 is about 3545.8369956895. The cubic root of 12572960 is about 232.5300997759.

The spelling of 12572960 in words is "twelve million, five hundred seventy-two thousand, nine hundred sixty".