71955 has 32 divisors (see below), whose sum is σ = 141120. Its totient is φ = 34560.

The previous prime is 71947. The next prime is 71963. The reversal of 71955 is 55917.

It is an interprime number because it is at equal distance from previous prime (71947) and next prime (71963).

It is not a de Polignac number, because 71955 - 2³ = 71947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71955.

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 31 ways as a sum of consecutive naturals, for example, 1735 + ... + 1775.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁷¹⁹⁵⁵ is an apocalyptic number.

71955 is a deficient number, since it is larger than the sum of its proper divisors (69165).

71955 is a wasteful number, since it uses less digits than its factorization.

71955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 71955 is about 268.2442916448. The cubic root of 71955 is about 41.5930076389.

The spelling of 71955 in words is "seventy-one thousand, nine hundred fifty-five".