436272 has 40 divisors (see below), whose sum is σ = 1153200. Its totient is φ = 142080.

The previous prime is 436253. The next prime is 436273. The reversal of 436272 is 272634.

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

It is a d-powerful number, because it can be written as 4⁴ + 3² + 2¹³ + 6⁷ + 7⁵ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (436273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2854 + ... + 3002.

It is an arithmetic number, because the mean of its divisors is an integer number (28830).

2⁴³⁶²⁷² 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 436272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576600).

436272 is an abundant number, since it is smaller than the sum of its proper divisors (716928).

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

436272 is a wasteful number, since it uses less digits than its factorization.

436272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 436272 is about 660.5088947168. The cubic root of 436272 is about 75.8436304766.

The spelling of 436272 in words is "four hundred thirty-six thousand, two hundred seventy-two".