72966 has 8 divisors (see below), whose sum is σ = 145944. Its totient is φ = 24320.

The previous prime is 72959. The next prime is 72973. The reversal of 72966 is 66927.

It is an interprime number because it is at equal distance from previous prime (72959) and next prime (72973).

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

72966 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

72966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6075 + ... + 6086.

It is an arithmetic number, because the mean of its divisors is an integer number (18243).

2⁷²⁹⁶⁶ is an apocalyptic number.

72966 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 (72972).

72966 is a wasteful number, since it uses less digits than its factorization.

72966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166.

The product of its digits is 4536, while the sum is 30.

The square root of 72966 is about 270.1221945713. The cubic root of 72966 is about 41.7869024844.

The spelling of 72966 in words is "seventy-two thousand, nine hundred sixty-six".