72161467 has 12 divisors (see below), whose sum is σ = 84891240. Its totient is φ = 61154016.

The previous prime is 72161431. The next prime is 72161477. The reversal of 72161467 is 76416127.

It is a happy number.

It is not a de Polignac number, because 72161467 - 2⁷ = 72161339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72161477) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3913 + ... + 12634.

It is an arithmetic number, because the mean of its divisors is an integer number (7074270).

Almost surely, 2^72161467 is an apocalyptic number.

72161467 is a deficient number, since it is larger than the sum of its proper divisors (12729773).

72161467 is a wasteful number, since it uses less digits than its factorization.

72161467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16650 (or 16643 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 72161467 is about 8494.7905801144. The cubic root of 72161467 is about 416.3275184410.

The spelling of 72161467 in words is "seventy-two million, one hundred sixty-one thousand, four hundred sixty-seven".