71775 has 36 divisors (see below), whose sum is σ = 145080. Its totient is φ = 33600.

The previous prime is 71761. The next prime is 71777. The reversal of 71775 is 57717.

71775 = T₅₉ + T₆₀ + ... + T₈₅.

71775 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 71775 - 2⁶ = 71711 is a prime.

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 71775.

It is not an unprimeable number, because it can be changed into a prime (71777) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2461 + ... + 2489.

It is an arithmetic number, because the mean of its divisors is an integer number (4030).

2⁷¹⁷⁷⁵ is an apocalyptic number.

71775 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71775 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 (72540).

71775 is a wasteful number, since it uses less digits than its factorization.

71775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its digits is 1715, while the sum is 27.

The square root of 71775 is about 267.9085664924. The cubic root of 71775 is about 41.5582961622.

The spelling of 71775 in words is "seventy-one thousand, seven hundred seventy-five".