72167610101 has 4 divisors (see below), whose sum is σ = 72187766604. Its totient is φ = 72147453600.

The previous prime is 72167610083. The next prime is 72167610161. The reversal of 72167610101 is 10101676127.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 66887407876 + 5280202225 = 258626^2 + 72665^2 .

It is a cyclic number.

It is not a de Polignac number, because 72167610101 - 2¹⁴ = 72167593717 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72167610161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10072880 + ... + 10080041.

It is an arithmetic number, because the mean of its divisors is an integer number (18046941651).

Almost surely, 2^72167610101 is an apocalyptic number.

It is an amenable number.

72167610101 is a deficient number, since it is larger than the sum of its proper divisors (20156503).

72167610101 is a wasteful number, since it uses less digits than its factorization.

72167610101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20156502.

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 72167610101 in words is "seventy-two billion, one hundred sixty-seven million, six hundred ten thousand, one hundred one".