39187872 has 36 divisors (see below), whose sum is σ = 111441330. Its totient is φ = 13062528.

The previous prime is 39187849. The next prime is 39187879. The reversal of 39187872 is 27878193.

39187872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34152336 + 5035536 = 5844^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (39187879) 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 5 ways as a sum of consecutive naturals, for example, 67747 + ... + 68322.

Almost surely, 2^39187872 is an apocalyptic number.

39187872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39187872 is an abundant number, since it is smaller than the sum of its proper divisors (72253458).

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

39187872 is a wasteful number, since it uses less digits than its factorization.

39187872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136085 (or 136074 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 39187872 is about 6260.0217252019. The cubic root of 39187872 is about 339.6648138434.

The spelling of 39187872 in words is "thirty-nine million, one hundred eighty-seven thousand, eight hundred seventy-two".