40807872 has 168 divisors, whose sum is σ = 138684000. Its totient is φ = 11225088.

The previous prime is 40807867. The next prime is 40807927. The reversal of 40807872 is 27870804.

40807872 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 (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 116754 + ... + 117102.

It is an arithmetic number, because the mean of its divisors is an integer number (825500).

Almost surely, 2^40807872 is an apocalyptic number.

40807872 is a gapful number since it is divisible by the number (42) 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 40807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69342000).

40807872 is an abundant number, since it is smaller than the sum of its proper divisors (97876128).

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

40807872 is a wasteful number, since it uses less digits than its factorization.

40807872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 40807872 is about 6388.1039440510. The cubic root of 40807872 is about 344.2822633726.

The spelling of 40807872 in words is "forty million, eight hundred seven thousand, eight hundred seventy-two".