71533 has 8 divisors (see below), whose sum is σ = 89280. Its totient is φ = 55680.

The previous prime is 71527. The next prime is 71537. The reversal of 71533 is 33517.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71533 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71533.

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 7 ways as a sum of consecutive naturals, for example, 388 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2⁷¹⁵³³ is an apocalyptic number.

It is an amenable number.

71533 is a deficient number, since it is larger than the sum of its proper divisors (17747).

71533 is a wasteful number, since it uses less digits than its factorization.

71533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947.

The product of its digits is 315, while the sum is 19.

The square root of 71533 is about 267.4565385254. The cubic root of 71533 is about 41.5115369289.

It can be divided in two parts, 7 and 1533, that multiplied together give a triangular number (10731 = T₁₄₆).

The spelling of 71533 in words is "seventy-one thousand, five hundred thirty-three".