71538 has 8 divisors (see below), whose sum is σ = 143088. Its totient is φ = 23844.

The previous prime is 71537. The next prime is 71549. The reversal of 71538 is 83517.

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

71538 is an admirable 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, 5956 + ... + 5967.

It is an arithmetic number, because the mean of its divisors is an integer number (17886).

2⁷¹⁵³⁸ is an apocalyptic number.

71538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71544).

71538 is a wasteful number, since it uses less digits than its factorization.

71538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11928.

The product of its digits is 840, while the sum is 24.

The square root of 71538 is about 267.4658856752. The cubic root of 71538 is about 41.5125040949.

The spelling of 71538 in words is "seventy-one thousand, five hundred thirty-eight".