40752032 has 48 divisors (see below), whose sum is σ = 83349000. Its totient is φ = 19599360.

The previous prime is 40752001. The next prime is 40752037. The reversal of 40752032 is 23025704.

40752032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23078416 + 17673616 = 4804^2 + 4204^2 .

It is a super-2 number, since 2×40752032² = 3321456224258048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40751989 and 40752007.

It is not an unprimeable number, because it can be changed into a prime (40752037) 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, 116594 + ... + 116942.

Almost surely, 2^40752032 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 40752032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41674500).

40752032 is an abundant number, since it is smaller than the sum of its proper divisors (42596968).

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

40752032 is a wasteful number, since it uses less digits than its factorization.

40752032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 40752032 is about 6383.7318239412. The cubic root of 40752032 is about 344.1251572709.

Adding to 40752032 its reverse (23025704), we get a palindrome (63777736).

The spelling of 40752032 in words is "forty million, seven hundred fifty-two thousand, thirty-two".