72306324 has 96 divisors (see below), whose sum is σ = 199449600. Its totient is φ = 22589280.

The previous prime is 72306317. The next prime is 72306331. The reversal of 72306324 is 42360327.

72306324 is a `hidden beast` number, since 7 + 23 + 0 + 632 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (72306317) and next prime (72306331).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 342579 + ... + 342789.

It is an arithmetic number, because the mean of its divisors is an integer number (2077600).

Almost surely, 2^72306324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72306324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99724800).

72306324 is an abundant number, since it is smaller than the sum of its proper divisors (127143276).

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

72306324 is a wasteful number, since it uses less digits than its factorization.

72306324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 72306324 is about 8503.3125310081. The cubic root of 72306324 is about 416.6059109992.

The spelling of 72306324 in words is "seventy-two million, three hundred six thousand, three hundred twenty-four".