72607027101 has 32 divisors (see below), whose sum is σ = 116480102400. Its totient is φ = 39300085440.

The previous prime is 72607027099. The next prime is 72607027117. The reversal of 72607027101 is 10172070627.

It is a happy number.

It is not a de Polignac number, because 72607027101 - 2¹ = 72607027099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72607027121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4293180 + ... + 4310058.

It is an arithmetic number, because the mean of its divisors is an integer number (3640003200).

Almost surely, 2^72607027101 is an apocalyptic number.

It is an amenable number.

72607027101 is a deficient number, since it is larger than the sum of its proper divisors (43873075299).

72607027101 is a wasteful number, since it uses less digits than its factorization.

72607027101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27689.

The product of its (nonzero) digits is 8232, while the sum is 33.

Adding to 72607027101 its reverse (10172070627), we get a palindrome (82779097728).

The spelling of 72607027101 in words is "seventy-two billion, six hundred seven million, twenty-seven thousand, one hundred one".