72193 has 4 divisors (see below), whose sum is σ = 78768. Its totient is φ = 65620.

The previous prime is 72173. The next prime is 72211. The reversal of 72193 is 39127.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 39127 = 11 ⋅3557.

It is a cyclic number.

It is not a de Polignac number, because 72193 - 2⁵ = 72161 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3271 + ... + 3292.

It is an arithmetic number, because the mean of its divisors is an integer number (19692).

It is a Proth number, since it is equal to 141 ⋅ 2⁹ + 1 and 141 < 2⁹.

2⁷²¹⁹³ is an apocalyptic number.

It is an amenable number.

72193 is a deficient number, since it is larger than the sum of its proper divisors (6575).

72193 is a wasteful number, since it uses less digits than its factorization.

72193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574.

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

The square root of 72193 is about 268.6875508839. The cubic root of 72193 is about 41.6388151650.

It can be divided in two parts, 7 and 2193, that multiplied together give a palindrome (15351).

The spelling of 72193 in words is "seventy-two thousand, one hundred ninety-three".