72161107 has 16 divisors (see below), whose sum is σ = 82404000. Its totient is φ = 62760960.

The previous prime is 72161099. The next prime is 72161119. The reversal of 72161107 is 70116127.

It is a cyclic number.

It is not a de Polignac number, because 72161107 - 2³ = 72161099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72164107) 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 15 ways as a sum of consecutive naturals, for example, 10519 + ... + 15967.

It is an arithmetic number, because the mean of its divisors is an integer number (5150250).

Almost surely, 2^72161107 is an apocalyptic number.

72161107 is a deficient number, since it is larger than the sum of its proper divisors (10242893).

72161107 is a wasteful number, since it uses less digits than its factorization.

72161107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526.

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 72161107 is about 8494.7693906309. The cubic root of 72161107 is about 416.3268261133.

The spelling of 72161107 in words is "seventy-two million, one hundred sixty-one thousand, one hundred seven".