243672 has 64 divisors (see below), whose sum is σ = 725760. Its totient is φ = 67200.

The previous prime is 243671. The next prime is 243673. The reversal of 243672 is 276342.

It is an interprime number because it is at equal distance from previous prime (243671) and next prime (243673).

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 2⁷ + 4⁸ + 6 + 3¹¹ + 7³ + 2⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243671) 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, 3397 + ... + 3467.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²⁴³⁶⁷² is an apocalyptic number.

243672 is a gapful number since it is divisible by the number (22) 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 243672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

243672 is an abundant number, since it is smaller than the sum of its proper divisors (482088).

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

243672 is a wasteful number, since it uses less digits than its factorization.

243672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

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

The square root of 243672 is about 493.6314414621. The cubic root of 243672 is about 62.4599850530.

243672 divided by its sum of digits (24) gives a triangular number (10153 = T₁₄₂).

The spelling of 243672 in words is "two hundred forty-three thousand, six hundred seventy-two".