422712 has 64 divisors (see below), whose sum is σ = 1248000. Its totient is φ = 132192.

The previous prime is 422711. The next prime is 422749. The reversal of 422712 is 217224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

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 422712.

It is not an unprimeable number, because it can be changed into a prime (422711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4053 + ... + 4155.

It is an arithmetic number, because the mean of its divisors is an integer number (19500).

2⁴²²⁷¹² 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 422712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624000).

422712 is an abundant number, since it is smaller than the sum of its proper divisors (825288).

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

422712 is a wasteful number, since it uses less digits than its factorization.

422712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 422712 is about 650.1630564712. The cubic root of 422712 is about 75.0495672340.

Adding to 422712 its reverse (217224), we get a palindrome (639936).

The spelling of 422712 in words is "four hundred twenty-two thousand, seven hundred twelve", and thus it is an iban number.