40315872 has 144 divisors (see below), whose sum is σ = 120113280. Its totient is φ = 11784960.

The previous prime is 40315817. The next prime is 40315883. The reversal of 40315872 is 27851304.

40315872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1300497 + ... + 1300527.

It is an arithmetic number, because the mean of its divisors is an integer number (834120).

Almost surely, 2^40315872 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 40315872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60056640).

40315872 is an abundant number, since it is smaller than the sum of its proper divisors (79797408).

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

40315872 is a wasteful number, since it uses less digits than its factorization.

40315872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 40315872 is about 6349.4780887881. The cubic root of 40315872 is about 342.8930525880.

The spelling of 40315872 in words is "forty million, three hundred fifteen thousand, eight hundred seventy-two".