71755 has 8 divisors (see below), whose sum is σ = 87552. Its totient is φ = 56448.

The previous prime is 71741. The next prime is 71761. The reversal of 71755 is 55717.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71755 is a prime.

It is an Ulam number.

It is a Duffinian number.

Its product of digits (1225) is a multiple of the sum of its prime divisors (245).

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 502 + ... + 628.

It is an arithmetic number, because the mean of its divisors is an integer number (10944).

2⁷¹⁷⁵⁵ is an apocalyptic number.

71755 is a deficient number, since it is larger than the sum of its proper divisors (15797).

71755 is a wasteful number, since it uses less digits than its factorization.

71755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245.

The product of its digits is 1225, while the sum is 25.

The square root of 71755 is about 267.8712377244. The cubic root of 71755 is about 41.5544357505.

The spelling of 71755 in words is "seventy-one thousand, seven hundred fifty-five".