40536072 has 64 divisors (see below), whose sum is σ = 114321600. Its totient is φ = 13305600.

The previous prime is 40536059. The next prime is 40536079. The reversal of 40536072 is 27063504.

It is a happy number.

40536072 is a `hidden beast` number, since 4 + 0 + 53 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40536079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13072 + ... + 15872.

It is an arithmetic number, because the mean of its divisors is an integer number (1786275).

Almost surely, 2^40536072 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 40536072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57160800).

40536072 is an abundant number, since it is smaller than the sum of its proper divisors (73785528).

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

40536072 is a wasteful number, since it uses less digits than its factorization.

40536072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2873 counting only the distinct ones).

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

The square root of 40536072 is about 6366.7944838828. The cubic root of 40536072 is about 343.5161983933.

Adding to 40536072 its reverse (27063504), we get a palindrome (67599576).

The spelling of 40536072 in words is "forty million, five hundred thirty-six thousand, seventy-two".