72200 has 36 divisors (see below), whose sum is σ = 177165. Its totient is φ = 27360.

The previous prime is 72173. The next prime is 72211. The reversal of 72200 is 227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 1444 = 266^2 + 38^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190.

It is a nialpdrome in base 10.

It is an unprimeable number.

72200 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 8 ways as a sum of consecutive naturals, for example, 3791 + ... + 3809.

2⁷²²⁰⁰ 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 72200

72200 is an abundant number, since it is smaller than the sum of its proper divisors (104965).

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

72200 is a wasteful number, since it uses less digits than its factorization.

72200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 72200 is about 268.7005768509. The cubic root of 72200 is about 41.6401609200.

Adding to 72200 its reverse (227), we get a palindrome (72427).

It can be divided in two parts, 72 and 200, that multiplied together give a square (14400 = 120²).

The spelling of 72200 in words is "seventy-two thousand, two hundred", and thus it is an iban number.