72311 has 4 divisors (see below), whose sum is σ = 72912. Its totient is φ = 71712.

The previous prime is 72307. The next prime is 72313. The reversal of 72311 is 11327.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 11327 = 47 ⋅241.

It is a cyclic number.

It is not a de Polignac number, because 72311 - 2² = 72307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72311.

It is not an unprimeable number, because it can be changed into a prime (72313) 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, 50 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2⁷²³¹¹ is an apocalyptic number.

72311 is a deficient number, since it is larger than the sum of its proper divisors (601).

72311 is a wasteful number, since it uses less digits than its factorization.

72311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600.

The product of its digits is 42, while the sum is 14.

The square root of 72311 is about 268.9070471371. The cubic root of 72311 is about 41.6614891344.

Adding to 72311 its reverse (11327), we get a palindrome (83638).

It can be divided in two parts, 72 and 311, that added together give a palindrome (383).

The spelling of 72311 in words is "seventy-two thousand, three hundred eleven", and thus it is an iban number.