72196 has 6 divisors (see below), whose sum is σ = 126350. Its totient is φ = 36096.

The previous prime is 72173. The next prime is 72211. The reversal of 72196 is 69127.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 2500 = 264^2 + 50^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72196.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 9021 + ... + 9028.

2⁷²¹⁹⁶ is an apocalyptic number.

It is an amenable number.

72196 is a deficient number, since it is larger than the sum of its proper divisors (54154).

72196 is a wasteful number, since it uses less digits than its factorization.

72196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18053 (or 18051 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 72196 is about 268.6931335185. The cubic root of 72196 is about 41.6393919278.

It can be divided in two parts, 7219 and 6, that added together give a square (7225 = 85²).

The spelling of 72196 in words is "seventy-two thousand, one hundred ninety-six".