40332072 has 64 divisors (see below), whose sum is σ = 112996800. Its totient is φ = 11888640.

The previous prime is 40332059. The next prime is 40332077. The reversal of 40332072 is 27023304.

It is a happy number.

40332072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40332077) 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, 7704 + ... + 11832.

It is an arithmetic number, because the mean of its divisors is an integer number (1765575).

Almost surely, 2^40332072 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 40332072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56498400).

40332072 is an abundant number, since it is smaller than the sum of its proper divisors (72664728).

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

40332072 is a wasteful number, since it uses less digits than its factorization.

40332072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 40332072 is about 6350.7536560632. The cubic root of 40332072 is about 342.9389743165.

Adding to 40332072 its reverse (27023304), we get a palindrome (67355376).

It can be divided in two parts, 4033 and 2072, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 40332072 in words is "forty million, three hundred thirty-two thousand, seventy-two".