40368672 has 48 divisors (see below), whose sum is σ = 117744480. Its totient is φ = 13455936.

The previous prime is 40368637. The next prime is 40368677. The reversal of 40368672 is 27686304.

40368672 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 a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40368677) 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, 22498 + ... + 24225.

It is an arithmetic number, because the mean of its divisors is an integer number (2453010).

Almost surely, 2^40368672 is an apocalyptic number.

It is an amenable number.

40368672 is an abundant number, since it is smaller than the sum of its proper divisors (77375808).

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

40368672 is a wasteful number, since it uses less digits than its factorization.

40368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46742 (or 46728 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 40368672 is about 6353.6345503971. The cubic root of 40368672 is about 343.0426781519.

The spelling of 40368672 in words is "forty million, three hundred sixty-eight thousand, six hundred seventy-two".