40824072 has 48 divisors (see below), whose sum is σ = 117072540. Its totient is φ = 12807168.

The previous prime is 40824019. The next prime is 40824073. The reversal of 40824072 is 27042804.

40824072 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 2 ways, for example, as 40525956 + 298116 = 6366^2 + 546^2 .

It is a super-2 number, since 2×40824072² = 3333209709322368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40824073) 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 11 ways as a sum of consecutive naturals, for example, 15453 + ... + 17900.

Almost surely, 2^40824072 is an apocalyptic number.

It is an amenable number.

40824072 is an abundant number, since it is smaller than the sum of its proper divisors (76248468).

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

40824072 is a wasteful number, since it uses less digits than its factorization.

40824072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33382 (or 33375 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40824072 is about 6389.3718001068. The cubic root of 40824072 is about 344.3278153255.

Adding to 40824072 its reverse (27042804), we get a palindrome (67866876).

The spelling of 40824072 in words is "forty million, eight hundred twenty-four thousand, seventy-two".