418572 has 72 divisors (see below), whose sum is σ = 1327872. Its totient is φ = 108000.

The previous prime is 418559. The next prime is 418597. The reversal of 418572 is 275814.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2697 + ... + 2847.

2⁴¹⁸⁵⁷² is an apocalyptic number.

418572 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 418572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663936).

418572 is an abundant number, since it is smaller than the sum of its proper divisors (909300).

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

418572 is a wasteful number, since it uses less digits than its factorization.

418572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 418572 is about 646.9714058596. The cubic root of 418572 is about 74.8037536126.

It can be divided in two parts, 418 and 572, that added together give a triangular number (990 = T₄₄).

The spelling of 418572 in words is "four hundred eighteen thousand, five hundred seventy-two".