227772 has 60 divisors (see below), whose sum is σ = 643720. Its totient is φ = 69984.

The previous prime is 227743. The next prime is 227789. The reversal of 227772 is 277722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 227772.

It is an unprimeable number.

227772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6138 + ... + 6174.

2²²⁷⁷⁷² 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 227772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321860).

227772 is an abundant number, since it is smaller than the sum of its proper divisors (415948).

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

227772 is a wasteful number, since it uses less digits than its factorization.

227772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 227772 is about 477.2546490083. The cubic root of 227772 is about 61.0707769354.

It can be divided in two parts, 22777 and 2, that multiplied together give a palindrome (45554).

The spelling of 227772 in words is "two hundred twenty-seven thousand, seven hundred seventy-two", and thus it is an iban number.