39972528 has 140 divisors (see below), whose sum is σ = 121978800. Its totient is φ = 12659328.

The previous prime is 39972521. The next prime is 39972529. The reversal of 39972528 is 82527993.

39972528 is a `hidden beast` number, since 39 + 97 + 2 + 528 = 666.

39972528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (39972521) 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 27 ways as a sum of consecutive naturals, for example, 268198 + ... + 268346.

Almost surely, 2^39972528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39972528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60989400).

39972528 is an abundant number, since it is smaller than the sum of its proper divisors (82006272).

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

39972528 is a wasteful number, since it uses less digits than its factorization.

39972528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 39972528 is about 6322.3830950046. The cubic root of 39972528 is about 341.9168773057.

It can be divided in two parts, 399 and 72528, that added together give a palindrome (72927).

The spelling of 39972528 in words is "thirty-nine million, nine hundred seventy-two thousand, five hundred twenty-eight".