40046072 has 64 divisors (see below), whose sum is σ = 88387200. Its totient is φ = 16813440.

The previous prime is 40046051. The next prime is 40046077. The reversal of 40046072 is 27064004.

40046072 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 not an unprimeable number, because it can be changed into a prime (40046077) 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 15 ways as a sum of consecutive naturals, for example, 71618 + ... + 72174.

It is an arithmetic number, because the mean of its divisors is an integer number (1381050).

Almost surely, 2^40046072 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 40046072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44193600).

40046072 is an abundant number, since it is smaller than the sum of its proper divisors (48341128).

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

40046072 is a wasteful number, since it uses less digits than its factorization.

40046072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 40046072 is about 6328.1965835457. The cubic root of 40046072 is about 342.1264423089.

The spelling of 40046072 in words is "forty million, forty-six thousand, seventy-two".