72195 has 8 divisors (see below), whose sum is σ = 115536. Its totient is φ = 38496.

The previous prime is 72173. The next prime is 72211. The reversal of 72195 is 59127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72195 - 2¹⁰ = 71171 is a prime.

It is a Smith number, since the sum of its digits (24) 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72195.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2392 + ... + 2421.

It is an arithmetic number, because the mean of its divisors is an integer number (14442).

2⁷²¹⁹⁵ is an apocalyptic number.

72195 is a deficient number, since it is larger than the sum of its proper divisors (43341).

72195 is a wasteful number, since it uses less digits than its factorization.

72195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821.

The product of its digits is 630, while the sum is 24.

The square root of 72195 is about 268.6912726532. The cubic root of 72195 is about 41.6391996753.

The spelling of 72195 in words is "seventy-two thousand, one hundred ninety-five".