72511 has 4 divisors (see below), whose sum is σ = 73800. Its totient is φ = 71224.

The previous prime is 72503. The next prime is 72533. The reversal of 72511 is 11527.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72511 - 2³ = 72503 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 (72551) 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, 556 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (18450).

2⁷²⁵¹¹ is an apocalyptic number.

72511 is a deficient number, since it is larger than the sum of its proper divisors (1289).

72511 is a wasteful number, since it uses less digits than its factorization.

72511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288.

The product of its digits is 70, while the sum is 16.

The square root of 72511 is about 269.2786660692. The cubic root of 72511 is about 41.6998633223.

Adding to 72511 its sum of digits (16), we get a palindrome (72527).

The spelling of 72511 in words is "seventy-two thousand, five hundred eleven".