72305220 has 48 divisors (see below), whose sum is σ = 218030400. Its totient is φ = 17798016.

The previous prime is 72305209. The next prime is 72305221. The reversal of 72305220 is 2250327.

It is not an unprimeable number, because it can be changed into a prime (72305221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45570 + ... + 47129.

It is an arithmetic number, because the mean of its divisors is an integer number (4542300).

Almost surely, 2^72305220 is an apocalyptic number.

It is an amenable number.

72305220 is an abundant number, since it is smaller than the sum of its proper divisors (145725180).

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

72305220 is a wasteful number, since it uses less digits than its factorization.

72305220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92724 (or 92722 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 72305220 is about 8503.2476148822. The cubic root of 72305220 is about 416.6037906901.

Adding to 72305220 its reverse (2250327), we get a palindrome (74555547).

The spelling of 72305220 in words is "seventy-two million, three hundred five thousand, two hundred twenty".