73966 has 8 divisors (see below), whose sum is σ = 114624. Its totient is φ = 35760.

The previous prime is 73961. The next prime is 73973. The reversal of 73966 is 66937.

73966 = T₅₃ + T₅₄ + ... + T₈₃.

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

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73961) by changing a digit.

73966 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, 535 + ... + 658.

It is an arithmetic number, because the mean of its divisors is an integer number (14328).

2⁷³⁹⁶⁶ is an apocalyptic number.

73966 is a deficient number, since it is larger than the sum of its proper divisors (40658).

73966 is a wasteful number, since it uses less digits than its factorization.

73966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226.

The product of its digits is 6804, while the sum is 31.

The square root of 73966 is about 271.9669097519. The cubic root of 73966 is about 41.9769336684.

The spelling of 73966 in words is "seventy-three thousand, nine hundred sixty-six".