72820223 has 24 divisors (see below), whose sum is σ = 88233264. Its totient is φ = 59875200.

The previous prime is 72820213. The next prime is 72820259. The reversal of 72820223 is 32202827.

It is not a de Polignac number, because 72820223 - 2⁴ = 72820207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72820192 and 72820201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72820213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134333 + ... + 134873.

It is an arithmetic number, because the mean of its divisors is an integer number (3676386).

Almost surely, 2^72820223 is an apocalyptic number.

72820223 is a deficient number, since it is larger than the sum of its proper divisors (15413041).

72820223 is a wasteful number, since it uses less digits than its factorization.

72820223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 72820223 is about 8533.4766068701. The cubic root of 72820223 is about 417.5905558527.

The spelling of 72820223 in words is "seventy-two million, eight hundred twenty thousand, two hundred twenty-three".