72706 has 4 divisors (see below), whose sum is σ = 109062. Its totient is φ = 36352.

The previous prime is 72701. The next prime is 72707. The reversal of 72706 is 60727.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 5625 = 259^2 + 75^2 .

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 not an unprimeable number, because it can be changed into a prime (72701) by changing a digit.

72706 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 18175 + ... + 18178.

2⁷²⁷⁰⁶ is an apocalyptic number.

72706 is a deficient number, since it is larger than the sum of its proper divisors (36356).

72706 is a wasteful number, since it uses less digits than its factorization.

72706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36355.

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 72706 is about 269.6405014088. The cubic root of 72706 is about 41.7372102768.

The spelling of 72706 in words is "seventy-two thousand, seven hundred six".