72711 has 8 divisors (see below), whose sum is σ = 107760. Its totient is φ = 48456.

The previous prime is 72707. The next prime is 72719. The reversal of 72711 is 11727.

It is not a de Polignac number, because 72711 - 2² = 72707 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1320 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (13470).

2⁷²⁷¹¹ is an apocalyptic number.

72711 is a deficient number, since it is larger than the sum of its proper divisors (35049).

72711 is a wasteful number, since it uses less digits than its factorization.

72711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2696 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 72711 is about 269.6497728536. The cubic root of 72711 is about 41.7381670124.

It can be divided in two parts, 727 and 11, that multiplied together give a palindrome (7997).

The spelling of 72711 in words is "seventy-two thousand, seven hundred eleven", and thus it is an iban number.