71736 has 48 divisors (see below), whose sum is σ = 212040. Its totient is φ = 20160.

The previous prime is 71719. The next prime is 71741. The reversal of 71736 is 63717.

71736 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

71736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146 + ... + 1206.

2⁷¹⁷³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020).

71736 is an abundant number, since it is smaller than the sum of its proper divisors (140304).

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

71736 is a wasteful number, since it uses less digits than its factorization.

71736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its digits is 882, while the sum is 24.

The square root of 71736 is about 267.8357705759. The cubic root of 71736 is about 41.5507676950.

The spelling of 71736 in words is "seventy-one thousand, seven hundred thirty-six".