72199 has 8 divisors (see below), whose sum is σ = 79488. Its totient is φ = 65280.

The previous prime is 72173. The next prime is 72211. The reversal of 72199 is 99127.

72199 is nontrivially palindromic in base 6.

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

It is not a de Polignac number, because 72199 - 2⁵ = 72167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (9936).

2⁷²¹⁹⁹ is an apocalyptic number.

72199 is a deficient number, since it is larger than the sum of its proper divisors (7289).

72199 is a wasteful number, since it uses less digits than its factorization.

72199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its digits is 1134, while the sum is 28.

The square root of 72199 is about 268.6987160371. The cubic root of 72199 is about 41.6399686746.

Adding to 72199 its sum of digits (28), we get a palindrome (72227).

It can be divided in two parts, 721 and 99, that added together give a triangular number (820 = T₄₀).

The spelling of 72199 in words is "seventy-two thousand, one hundred ninety-nine".