72168682 has 32 divisors (see below), whose sum is σ = 115315200. Its totient is φ = 33825600.

The previous prime is 72168659. The next prime is 72168697. The reversal of 72168682 is 28686127.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398632 + ... + 398812.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2^72168682 is an apocalyptic number.

72168682 is a deficient number, since it is larger than the sum of its proper divisors (43146518).

72168682 is a wasteful number, since it uses less digits than its factorization.

72168682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its digits is 64512, while the sum is 40.

The square root of 72168682 is about 8495.2152415345. The cubic root of 72168682 is about 416.3413933573.

The spelling of 72168682 in words is "seventy-two million, one hundred sixty-eight thousand, six hundred eighty-two".