643272 has 48 divisors (see below), whose sum is σ = 1874160. Its totient is φ = 183456.

The previous prime is 643243. The next prime is 643273. The reversal of 643272 is 272346.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6² + 4⁵ + 2⁵ + 3⁵ + 7⁶ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (643273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 903 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (39045).

2⁶⁴³²⁷² 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 643272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937080).

643272 is an abundant number, since it is smaller than the sum of its proper divisors (1230888).

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

643272 is a wasteful number, since it uses less digits than its factorization.

643272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

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

The square root of 643272 is about 802.0423928945. The cubic root of 643272 is about 86.3239986661.

The spelling of 643272 in words is "six hundred forty-three thousand, two hundred seventy-two".