72384963 has 24 divisors (see below), whose sum is σ = 117180672. Its totient is φ = 38926464.

The previous prime is 72384959. The next prime is 72384971. The reversal of 72384963 is 36948327.

It is not a de Polignac number, because 72384963 - 2² = 72384959 is a prime.

It is a super-2 number, since 2×72384963² = 10479165737022738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72384943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106 + ... + 12032.

It is an arithmetic number, because the mean of its divisors is an integer number (4882528).

Almost surely, 2^72384963 is an apocalyptic number.

72384963 is a deficient number, since it is larger than the sum of its proper divisors (44795709).

72384963 is a wasteful number, since it uses less digits than its factorization.

72384963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971 (or 11954 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 72384963 is about 8507.9352959458. The cubic root of 72384963 is about 416.7568872010.

The spelling of 72384963 in words is "seventy-two million, three hundred eighty-four thousand, nine hundred sixty-three".