40839072 has 48 divisors (see below), whose sum is σ = 107866080. Its totient is φ = 13528832.

The previous prime is 40839041. The next prime is 40839079. The reversal of 40839072 is 27093804.

40839072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (40839079) 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 7 ways as a sum of consecutive naturals, for example, 15379 + ... + 17837.

It is an arithmetic number, because the mean of its divisors is an integer number (2247210).

Almost surely, 2^40839072 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 40839072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53933040).

40839072 is an abundant number, since it is smaller than the sum of its proper divisors (67027008).

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

40839072 is a wasteful number, since it uses less digits than its factorization.

40839072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 40839072 is about 6390.5455166206. The cubic root of 40839072 is about 344.3699823161.

The spelling of 40839072 in words is "forty million, eight hundred thirty-nine thousand, seventy-two".