622272 has 56 divisors (see below), whose sum is σ = 1885696. Its totient is φ = 177408.

The previous prime is 622249. The next prime is 622277. The reversal of 622272 is 272226.

622272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (622277) by changing a digit.

622272 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 7 ways as a sum of consecutive naturals, for example, 1113 + ... + 1575.

2⁶²²²⁷² 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 622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942848).

622272 is an abundant number, since it is smaller than the sum of its proper divisors (1263424).

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

622272 is a wasteful number, since it uses less digits than its factorization.

622272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 622272 is about 788.8421895411. The cubic root of 622272 is about 85.3742208570.

Adding to 622272 its reverse (272226), we get a palindrome (894498).

The spelling of 622272 in words is "six hundred twenty-two thousand, two hundred seventy-two".