427572 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 137376.

The previous prime is 427541. The next prime is 427579. The reversal of 427572 is 275724.

427572 is nontrivially palindromic in base 11.

It is a super-3 number, since 3×427572³ = 234503336621559744, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427579) 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, 3943 + ... + 4049.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴²⁷⁵⁷² 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 427572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

427572 is an abundant number, since it is smaller than the sum of its proper divisors (721548).

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

427572 is a wasteful number, since it uses less digits than its factorization.

427572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 427572 is about 653.8898989891. The cubic root of 427572 is about 75.3360916490.

It can be divided in two parts, 427 and 572, that added together give a palindrome (999).

The spelling of 427572 in words is "four hundred twenty-seven thousand, five hundred seventy-two".