39520872 has 80 divisors (see below), whose sum is σ = 112384800. Its totient is φ = 12972960.

The previous prime is 39520861. The next prime is 39520879. The reversal of 39520872 is 27802593.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (39520879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45579 + ... + 46437.

It is an arithmetic number, because the mean of its divisors is an integer number (1404810).

Almost surely, 2^39520872 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 39520872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56192400).

39520872 is an abundant number, since it is smaller than the sum of its proper divisors (72863928).

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

39520872 is a wasteful number, since it uses less digits than its factorization.

39520872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 39520872 is about 6286.5628128573. The cubic root of 39520872 is about 340.6242051099.

The spelling of 39520872 in words is "thirty-nine million, five hundred twenty thousand, eight hundred seventy-two".