421572 has 36 divisors (see below), whose sum is σ = 1060080. Its totient is φ = 130032.

The previous prime is 421559. The next prime is 421607. The reversal of 421572 is 275124.

421572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (560) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

421572 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 11 ways as a sum of consecutive naturals, for example, 9783 + ... + 9825.

2⁴²¹⁵⁷² 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 421572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530040).

421572 is an abundant number, since it is smaller than the sum of its proper divisors (638508).

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

421572 is a wasteful number, since it uses less digits than its factorization.

421572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 421572 is about 649.2857614333. The cubic root of 421572 is about 74.9820401440.

Adding to 421572 its reverse (275124), we get a palindrome (696696).

The spelling of 421572 in words is "four hundred twenty-one thousand, five hundred seventy-two".