71995 has 24 divisors (see below), whose sum is σ = 114912. Its totient is φ = 42240.

The previous prime is 71993. The next prime is 71999. The reversal of 71995 is 59917.

It is not a de Polignac number, because 71995 - 2¹ = 71993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4227 + ... + 4243.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁷¹⁹⁹⁵ is an apocalyptic number.

71995 is the 170-th heptagonal number.

71995 is a deficient number, since it is larger than the sum of its proper divisors (42917).

71995 is a wasteful number, since it uses less digits than its factorization.

71995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its digits is 2835, while the sum is 31.

The square root of 71995 is about 268.3188401883. The cubic root of 71995 is about 41.6007134370.

It can be divided in two parts, 7 and 1995, that added together give a palindrome (2002).

The spelling of 71995 in words is "seventy-one thousand, nine hundred ninety-five".