73782 has 12 divisors (see below), whose sum is σ = 159900. Its totient is φ = 24588.
The previous prime is 73771. The next prime is 73783. The reversal of 73782 is 28737.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a plaindrome in base 13.
It is a zygodrome in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (73783) by changing a digit.
73782 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 5 ways as a sum of consecutive naturals, for example, 2032 + ... + 2067.
It is an arithmetic number, because the mean of its divisors is an integer number (13325).
273782 is an apocalyptic number.
73782 is an abundant number, since it is smaller than the sum of its proper divisors (86118).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73782 is a wasteful number, since it uses less digits than its factorization.
73782 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4107 (or 4104 counting only the distinct ones).
The product of its digits is 2352, while the sum is 27.
The square root of 73782 is about 271.6284226660. The cubic root of 73782 is about 41.9420970801.
The spelling of 73782 in words is "seventy-three thousand, seven hundred eighty-two".
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