40072464 has 60 divisors (see below), whose sum is σ = 112583692. Its totient is φ = 13305600.

The previous prime is 40072453. The next prime is 40072489. The reversal of 40072464 is 46427004.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 27878400 = 3492^2 + 5280^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60294 + ... + 60954.

Almost surely, 2^40072464 is an apocalyptic number.

It is an amenable number.

40072464 is an abundant number, since it is smaller than the sum of its proper divisors (72511228).

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

40072464 is a wasteful number, since it uses less digits than its factorization.

40072464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 40072464 is about 6330.2815103280. The cubic root of 40072464 is about 342.2015842455.

Adding to 40072464 its reverse (46427004), we get a palindrome (86499468).

The spelling of 40072464 in words is "forty million, seventy-two thousand, four hundred sixty-four".