12972528 has 40 divisors (see below), whose sum is σ = 37237200. Its totient is φ = 4324032.

The previous prime is 12972527. The next prime is 12972559. The reversal of 12972528 is 82527921.

12972528 is a `hidden beast` number, since 129 + 7 + 2 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12972492 and 12972501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972521) 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, 14583 + ... + 15446.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 2^12972528 is an apocalyptic number.

12972528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12972528 is an abundant number, since it is smaller than the sum of its proper divisors (24264672).

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

12972528 is a wasteful number, since it uses less digits than its factorization.

12972528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30046 (or 30034 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12972528 is about 3601.7395797031. The cubic root of 12972528 is about 234.9677215361.

The spelling of 12972528 in words is "twelve million, nine hundred seventy-two thousand, five hundred twenty-eight".