39972105 has 24 divisors (see below), whose sum is σ = 72933120. Its totient is φ = 20196000.

The previous prime is 39972073. The next prime is 39972109. The reversal of 39972105 is 50127993.

It is not a de Polignac number, because 39972105 - 2⁵ = 39972073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 39972105.

It is not an unprimeable number, because it can be changed into a prime (39972109) 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, 22521 + ... + 24230.

It is an arithmetic number, because the mean of its divisors is an integer number (3038880).

Almost surely, 2^39972105 is an apocalyptic number.

It is an amenable number.

39972105 is a deficient number, since it is larger than the sum of its proper divisors (32961015).

39972105 is a wasteful number, since it uses less digits than its factorization.

39972105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46781 (or 46778 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 39972105 is about 6322.3496423403. The cubic root of 39972105 is about 341.9156712161.

The spelling of 39972105 in words is "thirty-nine million, nine hundred seventy-two thousand, one hundred five".