196072 has 8 divisors (see below), whose sum is σ = 367650. Its totient is φ = 98032.

The previous prime is 196051. The next prime is 196073. The reversal of 196072 is 270691.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 70756 = 354^2 + 266^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (196073) by changing a digit.

196072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12247 + ... + 12262.

2¹⁹⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

196072 is a deficient number, since it is larger than the sum of its proper divisors (171578).

196072 is a wasteful number, since it uses less digits than its factorization.

196072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24515 (or 24511 counting only the distinct ones).

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

The square root of 196072 is about 442.8001806684. The cubic root of 196072 is about 58.0949692637.

The spelling of 196072 in words is "one hundred ninety-six thousand, seventy-two".