72571 has 4 divisors (see below), whose sum is σ = 74944. Its totient is φ = 70200.

The previous prime is 72559. The next prime is 72577. The reversal of 72571 is 17527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 17527 = 17 ⋅1031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72571 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1140 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (18736).

2⁷²⁵⁷¹ is an apocalyptic number.

72571 is a deficient number, since it is larger than the sum of its proper divisors (2373).

72571 is a wasteful number, since it uses less digits than its factorization.

72571 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372.

The product of its digits is 490, while the sum is 22.

The square root of 72571 is about 269.3900517837. The cubic root of 72571 is about 41.7113618169.

The spelling of 72571 in words is "seventy-two thousand, five hundred seventy-one".