39872000 has 160 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 13516800.

The previous prime is 39871973. The next prime is 39872017. The reversal of 39872000 is 27893.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447956 + ... + 448044.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^39872000 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 39872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

39872000 is an abundant number, since it is smaller than the sum of its proper divisors (75031360).

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

39872000 is an frugal number, since it uses more digits than its factorization.

39872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 39872000 is about 6314.4279234148. The cubic root of 39872000 is about 341.6300046590.

Adding to 39872000 its reverse (27893), we get a palindrome (39899893).

The spelling of 39872000 in words is "thirty-nine million, eight hundred seventy-two thousand".