73662 has 8 divisors (see below), whose sum is σ = 147336. Its totient is φ = 24552.

The previous prime is 73651. The next prime is 73673. The reversal of 73662 is 26637.

It is an interprime number because it is at equal distance from previous prime (73651) and next prime (73673).

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

73662 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 73662.

It is an unprimeable number.

73662 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6133 + ... + 6144.

It is an arithmetic number, because the mean of its divisors is an integer number (18417).

2⁷³⁶⁶² is an apocalyptic number.

73662 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 (73668).

73662 is a wasteful number, since it uses less digits than its factorization.

73662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12282.

The product of its digits is 1512, while the sum is 24.

The square root of 73662 is about 271.4074427867. The cubic root of 73662 is about 41.9193463517.

The spelling of 73662 in words is "seventy-three thousand, six hundred sixty-two".