72611 has 16 divisors (see below), whose sum is σ = 96768. Its totient is φ = 52800.

The previous prime is 72577. The next prime is 72613. The reversal of 72611 is 11627.

72611 = T₇₀ + T₇₁ + ... + T₉₁.

It is a happy number.

It is not a de Polignac number, because 72611 - 2⁶ = 72547 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 72611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1751 + ... + 1791.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁷²⁶¹¹ is an apocalyptic number.

72611 is a deficient number, since it is larger than the sum of its proper divisors (24157).

72611 is a wasteful number, since it uses less digits than its factorization.

72611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 84, while the sum is 17.

The square root of 72611 is about 269.4642833475. The cubic root of 72611 is about 41.7190239594.

Subtracting from 72611 its product of digits (84), we obtain a palindrome (72527).

It can be divided in two parts, 726 and 11, that added together give a palindrome (737).

The spelling of 72611 in words is "seventy-two thousand, six hundred eleven".