73965 has 8 divisors (see below), whose sum is σ = 118368. Its totient is φ = 39440.

The previous prime is 73961. The next prime is 73973. The reversal of 73965 is 56937.

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

It is not a de Polignac number, because 73965 - 2² = 73961 is a prime.

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.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2451 + ... + 2480.

It is an arithmetic number, because the mean of its divisors is an integer number (14796).

2⁷³⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

73965 is a deficient number, since it is larger than the sum of its proper divisors (44403).

73965 is a wasteful number, since it uses less digits than its factorization.

73965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939.

The product of its digits is 5670, while the sum is 30.

The square root of 73965 is about 271.9650712867. The cubic root of 73965 is about 41.9767444954.

The spelling of 73965 in words is "seventy-three thousand, nine hundred sixty-five".