39871872 has 128 divisors (see below), whose sum is σ = 119952000. Its totient is φ = 13036032.

The previous prime is 39871849. The next prime is 39871883. The reversal of 39871872 is 27817893.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286779 + ... + 286917.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 2^39871872 is an apocalyptic number.

39871872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976000).

39871872 is an abundant number, since it is smaller than the sum of its proper divisors (80080128).

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

39871872 is a wasteful number, since it uses less digits than its factorization.

39871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

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

The square root of 39871872 is about 6314.4177878883. The cubic root of 39871872 is about 341.6296390834.

The spelling of 39871872 in words is "thirty-nine million, eight hundred seventy-one thousand, eight hundred seventy-two".