39873120 has 96 divisors (see below), whose sum is σ = 143555328. Its totient is φ = 9113088.

The previous prime is 39873089. The next prime is 39873131. The reversal of 39873120 is 2137893.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2574 + ... + 9293.

It is an arithmetic number, because the mean of its divisors is an integer number (1495368).

Almost surely, 2^39873120 is an apocalyptic number.

39873120 is a gapful number since it is divisible by the number (30) 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 39873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71777664).

39873120 is an abundant number, since it is smaller than the sum of its proper divisors (103682208).

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

39873120 is a wasteful number, since it uses less digits than its factorization.

39873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11892 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 39873120 is about 6314.5166085774. The cubic root of 39873120 is about 341.6332034118.

It can be divided in two parts, 39873 and 120, that added together give a palindrome (39993).

The spelling of 39873120 in words is "thirty-nine million, eight hundred seventy-three thousand, one hundred twenty".