72300228 has 144 divisors (see below), whose sum is σ = 228243456. Its totient is φ = 17297280.

The previous prime is 72300209. The next prime is 72300229. The reversal of 72300228 is 82200327.

It is a junction number, because it is equal to n+sod(n) for n = 72300198 and 72300207.

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

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 47 ways as a sum of consecutive naturals, for example, 155925 + ... + 156387.

It is an arithmetic number, because the mean of its divisors is an integer number (1585024).

Almost surely, 2^72300228 is an apocalyptic number.

72300228 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72300228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114121728).

72300228 is an abundant number, since it is smaller than the sum of its proper divisors (155943228).

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

72300228 is a wasteful number, since it uses less digits than its factorization.

72300228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72300228 is about 8502.9540749083. The cubic root of 72300228 is about 416.5942029361.

Subtracting 72300228 from its reverse (82200327), we obtain a palindrome (9900099).

The spelling of 72300228 in words is "seventy-two million, three hundred thousand, two hundred twenty-eight".