12573972 has 72 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3836160.

The previous prime is 12573971. The next prime is 12573989. The reversal of 12573972 is 27937521.

12573972 is a `hidden beast` number, since 12 + 573 + 9 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12573971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20908 + ... + 21500.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 2^12573972 is an apocalyptic number.

12573972 is a gapful number since it is divisible by the number (12) 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 12573972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

12573972 is an abundant number, since it is smaller than the sum of its proper divisors (22020588).

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

12573972 is a wasteful number, since it uses less digits than its factorization.

12573972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 648 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12573972 is about 3545.9796953733. The cubic root of 12573972 is about 232.5363384062.

The spelling of 12573972 in words is "twelve million, five hundred seventy-three thousand, nine hundred seventy-two".