72300220 has 48 divisors (see below), whose sum is σ = 159804288. Its totient is φ = 27440640.

The previous prime is 72300209. The next prime is 72300229. The reversal of 72300220 is 2200327.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72300194 and 72300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72300229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29149 + ... + 31531.

It is an arithmetic number, because the mean of its divisors is an integer number (3329256).

Almost surely, 2^72300220 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 72300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79902144).

72300220 is an abundant number, since it is smaller than the sum of its proper divisors (87504068).

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

72300220 is a wasteful number, since it uses less digits than its factorization.

72300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 72300220 is about 8502.9536044836. The cubic root of 72300220 is about 416.5941875708.

Adding to 72300220 its reverse (2200327), we get a palindrome (74500547).

The spelling of 72300220 in words is "seventy-two million, three hundred thousand, two hundred twenty".