72208 has 10 divisors (see below), whose sum is σ = 139934. Its totient is φ = 36096.

The previous prime is 72173. The next prime is 72211. The reversal of 72208 is 80227.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 35344 = 192^2 + 188^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2241 + ... + 2272.

2⁷²²⁰⁸ is an apocalyptic number.

It is an amenable number.

72208 is a deficient number, since it is larger than the sum of its proper divisors (67726).

72208 is a wasteful number, since it uses less digits than its factorization.

72208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 72208 is about 268.7154628971. The cubic root of 72208 is about 41.6416988193.

Adding to 72208 its sum of digits (19), we get a palindrome (72227).

The spelling of 72208 in words is "seventy-two thousand, two hundred eight".