72319 has 4 divisors (see below), whose sum is σ = 77896. Its totient is φ = 66744.

The previous prime is 72313. The next prime is 72337. The reversal of 72319 is 91327.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 91327 = 271 ⋅337.

It is a cyclic number.

It is not a de Polignac number, because 72319 - 2⁵ = 72287 is a prime.

It is a super-2 number, since 2×72319² = 10460075522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72313) 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, 2769 + ... + 2794.

It is an arithmetic number, because the mean of its divisors is an integer number (19474).

2⁷²³¹⁹ is an apocalyptic number.

72319 is a deficient number, since it is larger than the sum of its proper divisors (5577).

72319 is a wasteful number, since it uses less digits than its factorization.

72319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576.

The product of its digits is 378, while the sum is 22.

The square root of 72319 is about 268.9219217543. The cubic root of 72319 is about 41.6630254596.

The spelling of 72319 in words is "seventy-two thousand, three hundred nineteen".