421872 has 80 divisors (see below), whose sum is σ = 1285632. Its totient is φ = 117760.

The previous prime is 421847. The next prime is 421891. The reversal of 421872 is 278124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8953 + ... + 8999.

2⁴²¹⁸⁷² 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 421872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816).

421872 is an abundant number, since it is smaller than the sum of its proper divisors (863760).

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

421872 is a wasteful number, since it uses less digits than its factorization.

421872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 421872 is about 649.5167434331. The cubic root of 421872 is about 74.9998222218. Note that the first 3 decimals are identical.

421872 divided by its sum of digits (24) gives a triangular number (17578 = T₁₈₇).

Adding to 421872 its reverse (278124), we get a palindrome (699996).

The spelling of 421872 in words is "four hundred twenty-one thousand, eight hundred seventy-two".