71136 has 72 divisors (see below), whose sum is σ = 229320. Its totient is φ = 20736.

The previous prime is 71129. The next prime is 71143. The reversal of 71136 is 63117.

It is an interprime number because it is at equal distance from previous prime (71129) and next prime (71143).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

71136 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 3735 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

2⁷¹¹³⁶ is an apocalyptic number.

71136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660).

71136 is an abundant number, since it is smaller than the sum of its proper divisors (158184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71136 is a wasteful number, since it uses less digits than its factorization.

71136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 37 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 71136 is about 266.7133292507. The cubic root of 71136 is about 41.4345996550.

It can be divided in two parts, 711 and 36, that added together give a palindrome (747).

The spelling of 71136 in words is "seventy-one thousand, one hundred thirty-six".