72306384 has 40 divisors (see below), whose sum is σ = 192820992. Its totient is φ = 23324160.

The previous prime is 72306379. The next prime is 72306391. The reversal of 72306384 is 48360327.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22809 + ... + 25784.

Almost surely, 2^72306384 is an apocalyptic number.

It is an amenable number.

72306384 is an abundant number, since it is smaller than the sum of its proper divisors (120514608).

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

72306384 is a wasteful number, since it uses less digits than its factorization.

72306384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48635 (or 48629 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 72306384 is about 8503.3160590443. The cubic root of 72306384 is about 416.6060262328.

The spelling of 72306384 in words is "seventy-two million, three hundred six thousand, three hundred eighty-four".