72346304 has 56 divisors (see below), whose sum is σ = 149352000. Its totient is φ = 34744320.

The previous prime is 72346289. The next prime is 72346327. The reversal of 72346304 is 40364327.

It is a happy 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, 207122 + ... + 207470.

It is an arithmetic number, because the mean of its divisors is an integer number (2667000).

Almost surely, 2^72346304 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 72346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74676000).

72346304 is an abundant number, since it is smaller than the sum of its proper divisors (77005696).

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

72346304 is a wasteful number, since it uses less digits than its factorization.

72346304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 72346304 is about 8505.6630546948. The cubic root of 72346304 is about 416.6826808423.

The spelling of 72346304 in words is "seventy-two million, three hundred forty-six thousand, three hundred four".