40635072 has 168 divisors, whose sum is σ = 126796800. Its totient is φ = 12400128.

The previous prime is 40635037. The next prime is 40635073. The reversal of 40635072 is 27053604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40635073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514329 + ... + 514407.

Almost surely, 2^40635072 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 40635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63398400).

40635072 is an abundant number, since it is smaller than the sum of its proper divisors (86161728).

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

40635072 is a wasteful number, since it uses less digits than its factorization.

40635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40635072 is about 6374.5644557099. The cubic root of 40635072 is about 343.7956240490.

Adding to 40635072 its reverse (27053604), we get a palindrome (67688676).

The spelling of 40635072 in words is "forty million, six hundred thirty-five thousand, seventy-two".