72118101 has 16 divisors (see below), whose sum is σ = 105251328. Its totient is φ = 43561200.

The previous prime is 72118061. The next prime is 72118103. The reversal of 72118101 is 10181127.

It is not a de Polignac number, because 72118101 - 2²¹ = 70020949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72118103) 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, 6750 + ... + 13776.

It is an arithmetic number, because the mean of its divisors is an integer number (6578208).

Almost surely, 2^72118101 is an apocalyptic number.

It is an amenable number.

72118101 is a deficient number, since it is larger than the sum of its proper divisors (33133227).

72118101 is a wasteful number, since it uses less digits than its factorization.

72118101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352.

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 72118101 is about 8492.2376909740. The cubic root of 72118101 is about 416.2441032991.

Adding to 72118101 its reverse (10181127), we get a palindrome (82299228).

The spelling of 72118101 in words is "seventy-two million, one hundred eighteen thousand, one hundred one".