73986 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 20880.

The previous prime is 73973. The next prime is 73999. The reversal of 73986 is 68937.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73973) and next prime (73999).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁷³⁹⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

73986 is an abundant number, since it is smaller than the sum of its proper divisors (98814).

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

73986 is a wasteful number, since it uses less digits than its factorization.

73986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94.

The product of its digits is 9072, while the sum is 33.

The square root of 73986 is about 272.0036764457. The cubic root of 73986 is about 41.9807167715.

It can be divided in two parts, 7 and 3986, that added together give a palindrome (3993).

The spelling of 73986 in words is "seventy-three thousand, nine hundred eighty-six".