422772 has 36 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 120624.

The previous prime is 422761. The next prime is 422789. The reversal of 422772 is 277224.

422772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

422772 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2⁴²²⁷⁷² is an apocalyptic number.

422772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

422772 is an abundant number, since it is smaller than the sum of its proper divisors (726348).

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

422772 is a wasteful number, since it uses less digits than its factorization.

422772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 731 counting only the distinct ones).

The product of its digits is 1568, while the sum is 24.

The square root of 422772 is about 650.2091971051. The cubic root of 422772 is about 75.0531179265.

Adding to 422772 its reverse (277224), we get a palindrome (699996).

The spelling of 422772 in words is "four hundred twenty-two thousand, seven hundred seventy-two", and thus it is an iban number.