72384039 has 48 divisors (see below), whose sum is σ = 132880384. Its totient is φ = 36936000.

The previous prime is 72384023. The next prime is 72384041. The reversal of 72384039 is 93048327.

It is not a de Polignac number, because 72384039 - 2⁴ = 72384023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72383994 and 72384012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72384049) 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 47 ways as a sum of consecutive naturals, for example, 23964 + ... + 26814.

Almost surely, 2^72384039 is an apocalyptic number.

72384039 is a deficient number, since it is larger than the sum of its proper divisors (60496345).

72384039 is a wasteful number, since it uses less digits than its factorization.

72384039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72384039 is about 8507.8809935259. The cubic root of 72384039 is about 416.7551138815.

The spelling of 72384039 in words is "seventy-two million, three hundred eighty-four thousand, thirty-nine".