72384012 has 18 divisors (see below), whose sum is σ = 182970788. Its totient is φ = 24127992.

The previous prime is 72384001. The next prime is 72384023. The reversal of 72384012 is 21048327.

It is an interprime number because it is at equal distance from previous prime (72384001) and next prime (72384023).

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×72384012² = 10478890386432288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 1005298 + ... + 1005369.

Almost surely, 2^72384012 is an apocalyptic number.

It is an amenable number.

72384012 is an abundant number, since it is smaller than the sum of its proper divisors (110586776).

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

72384012 is a wasteful number, since it uses less digits than its factorization.

72384012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010677 (or 2010672 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72384012 is about 8507.8794067617. The cubic root of 72384012 is about 416.7550620635.

The spelling of 72384012 in words is "seventy-two million, three hundred eighty-four thousand, twelve".