72160101 has 48 divisors (see below), whose sum is σ = 117295360. Its totient is φ = 42456960.

The previous prime is 72160093. The next prime is 72160103. The reversal of 72160101 is 10106127.

It is not a de Polignac number, because 72160101 - 2³ = 72160093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72160103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341886 + ... + 342096.

Almost surely, 2^72160101 is an apocalyptic number.

It is an amenable number.

72160101 is a deficient number, since it is larger than the sum of its proper divisors (45135259).

72160101 is a wasteful number, since it uses less digits than its factorization.

72160101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 72160101 is about 8494.7101775164. The cubic root of 72160101 is about 416.3248914297.

Adding to 72160101 its reverse (10106127), we get a palindrome (82266228).

The spelling of 72160101 in words is "seventy-two million, one hundred sixty thousand, one hundred one".