72167104 has 28 divisors (see below), whose sum is σ = 143712184. Its totient is φ = 35956224.

The previous prime is 72167099. The next prime is 72167119. The reversal of 72167104 is 40176127.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17812 + ... + 21484.

It is an arithmetic number, because the mean of its divisors is an integer number (5132578).

Almost surely, 2^72167104 is an apocalyptic number.

It is an amenable number.

72167104 is a deficient number, since it is larger than the sum of its proper divisors (71545080).

72167104 is a wasteful number, since it uses less digits than its factorization.

72167104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 72167104 is about 8495.1223652164. The cubic root of 72167104 is about 416.3383588392.

The spelling of 72167104 in words is "seventy-two million, one hundred sixty-seven thousand, one hundred four".