72200227 has 16 divisors (see below), whose sum is σ = 81907200. Its totient is φ = 63041440.

The previous prime is 72200213. The next prime is 72200263.

72200227 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72200227 - 2¹⁹ = 71675939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72200198 and 72200207.

It is not an unprimeable number, because it can be changed into a prime (72200267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75768 + ... + 76714.

It is an arithmetic number, because the mean of its divisors is an integer number (5119200).

Almost surely, 2^72200227 is an apocalyptic number.

72200227 is a deficient number, since it is larger than the sum of its proper divisors (9706973).

72200227 is a wasteful number, since it uses less digits than its factorization.

72200227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226.

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 72200227 is about 8497.0716720527. The cubic root of 72200227 is about 416.4020455950.

It can be divided in two parts, 72200 and 227, that added together give a palindrome (72427).

The spelling of 72200227 in words is "seventy-two million, two hundred thousand, two hundred twenty-seven".