72384040 has 16 divisors (see below), whose sum is σ = 162864180. Its totient is φ = 28953600.

The previous prime is 72384023. The next prime is 72384041. The reversal of 72384040 is 4048327.

It can be written as a sum of positive squares in 2 ways, for example, as 65901924 + 6482116 = 8118^2 + 2546^2 .

It is not an unprimeable number, because it can be changed into a prime (72384041) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 904761 + ... + 904840.

Almost surely, 2^72384040 is an apocalyptic number.

It is an amenable number.

72384040 is an abundant number, since it is smaller than the sum of its proper divisors (90480140).

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

72384040 is a wasteful number, since it uses less digits than its factorization.

72384040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809612 (or 1809608 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 72384040 is about 8507.8810522950. The cubic root of 72384040 is about 416.7551158007.

The spelling of 72384040 in words is "seventy-two million, three hundred eighty-four thousand, forty".