73362 has 8 divisors (see below), whose sum is σ = 146736. Its totient is φ = 24452.

The previous prime is 73361. The next prime is 73363. The reversal of 73362 is 26337.

It is an interprime number because it is at equal distance from previous prime (73361) and next prime (73363).

It is a sphenic number, since it is the product of 3 distinct primes.

73362 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (73361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6108 + ... + 6119.

It is an arithmetic number, because the mean of its divisors is an integer number (18342).

2^{73362} is an apocalyptic number.

73362 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73368).

73362 is a wasteful number, since it uses less digits than its factorization.

73362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232.

The product of its digits is 756, while the sum is 21.

The square root of 73362 is about 270.8542043240. The cubic root of 73362 is about 41.8623612262.

Adding to 73362 its reverse (26337), we get a palindrome (99699).

It can be divided in two parts, 73 and 362, that added together give a triangular number (435 = T_{29}).

The spelling of 73362 in words is "seventy-three thousand, three hundred sixty-two".

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