39121872 has 80 divisors (see below), whose sum is σ = 105076608. Its totient is φ = 12533760.

The previous prime is 39121871. The next prime is 39121877. The reversal of 39121872 is 27812193.

39121872 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 (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39121871) 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 15 ways as a sum of consecutive naturals, for example, 202608 + ... + 202800.

Almost surely, 2^39121872 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 39121872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52538304).

39121872 is an abundant number, since it is smaller than the sum of its proper divisors (65954736).

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

39121872 is a wasteful number, since it uses less digits than its factorization.

39121872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 39121872 is about 6254.7479565527. The cubic root of 39121872 is about 339.4740194836.

It can be divided in two parts, 39121 and 872, that added together give a palindrome (39993).

The spelling of 39121872 in words is "thirty-nine million, one hundred twenty-one thousand, eight hundred seventy-two".