71655 has 16 divisors (see below), whose sum is σ = 121824. Its totient is φ = 35840.

The previous prime is 71647. The next prime is 71663. The reversal of 71655 is 55617.

It is an interprime number because it is at equal distance from previous prime (71647) and next prime (71663).

It is not a de Polignac number, because 71655 - 2³ = 71647 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (7614).

2⁷¹⁶⁵⁵ is an apocalyptic number.

71655 is a deficient number, since it is larger than the sum of its proper divisors (50169).

71655 is a wasteful number, since it uses less digits than its factorization.

71655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

The product of its digits is 1050, while the sum is 24.

The square root of 71655 is about 267.6845158017. The cubic root of 71655 is about 41.5351229247.

Subtracting from 71655 its sum of digits (24), we obtain a triangular number (71631 = T₃₇₈).

The spelling of 71655 in words is "seventy-one thousand, six hundred fifty-five".