71765 has 8 divisors (see below), whose sum is σ = 89088. Its totient is φ = 55440.

The previous prime is 71761. The next prime is 71777. The reversal of 71765 is 56717.

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

It is not a de Polignac number, because 71765 - 2² = 71761 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71765.

It is not an unprimeable number, because it can be changed into a prime (71761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (11136).

2⁷¹⁷⁶⁵ is an apocalyptic number.

71765 is the 155-th octagonal number.

It is an amenable number.

71765 is a deficient number, since it is larger than the sum of its proper divisors (17323).

71765 is a wasteful number, since it uses less digits than its factorization.

71765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its digits is 1470, while the sum is 26.

The square root of 71765 is about 267.8899027586. The cubic root of 71765 is about 41.5563660460.

The spelling of 71765 in words is "seventy-one thousand, seven hundred sixty-five".