73271164101 has 16 divisors (see below), whose sum is σ = 101985319296. Its totient is φ = 46704010496.

The previous prime is 73271164093. The next prime is 73271164129. The reversal of 73271164101 is 10146117237.

It is a happy number.

It is not a de Polignac number, because 73271164101 - 2³ = 73271164093 is a prime.

It is a super-2 number, since 2×73271164101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73271164151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56760 + ... + 386993.

It is an arithmetic number, because the mean of its divisors is an integer number (6374082456).

Almost surely, 2^73271164101 is an apocalyptic number.

It is an amenable number.

73271164101 is a deficient number, since it is larger than the sum of its proper divisors (28714155195).

73271164101 is a wasteful number, since it uses less digits than its factorization.

73271164101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446172.

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 73271164101 in words is "seventy-three billion, two hundred seventy-one million, one hundred sixty-four thousand, one hundred one".