71536 has 20 divisors (see below), whose sum is σ = 147312. Its totient is φ = 33536.

The previous prime is 71527. The next prime is 71537. The reversal of 71536 is 63517.

It is a magnanimous number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71537) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141 + ... + 403.

2⁷¹⁵³⁶ 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 71536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656).

71536 is an abundant number, since it is smaller than the sum of its proper divisors (75776).

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

71536 is a wasteful number, since it uses less digits than its factorization.

71536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 630, while the sum is 22.

The square root of 71536 is about 267.4621468545. The cubic root of 71536 is about 41.5121172339.

The spelling of 71536 in words is "seventy-one thousand, five hundred thirty-six".