73242 has 24 divisors (see below), whose sum is σ = 171444. Its totient is φ = 22464.

The previous prime is 73237. The next prime is 73243. The reversal of 73242 is 24237.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 19881 = 231^2 + 141^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73242.

It is not an unprimeable number, because it can be changed into a prime (73243) 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, 78 + ... + 390.

2⁷³²⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85722).

73242 is an abundant number, since it is smaller than the sum of its proper divisors (98202).

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

73242 is a wasteful number, since it uses less digits than its factorization.

73242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 331 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 73242 is about 270.6325922723. The cubic root of 73242 is about 41.8395236770.

Adding to 73242 its reverse (24237), we get a palindrome (97479).

It can be divided in two parts, 7 and 3242, that added together give a square (3249 = 57²).

The spelling of 73242 in words is "seventy-three thousand, two hundred forty-two", and thus it is an iban number.