72056006101 has 8 divisors (see below), whose sum is σ = 73300449600. Its totient is φ = 70812334560.

The previous prime is 72056006041. The next prime is 72056006147. The reversal of 72056006101 is 10160065027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72056006101 - 2⁹ = 72056005589 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72056006101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72056606101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3096 + ... + 379633.

It is an arithmetic number, because the mean of its divisors is an integer number (9162556200).

Almost surely, 2^72056006101 is an apocalyptic number.

It is an amenable number.

72056006101 is a deficient number, since it is larger than the sum of its proper divisors (1244443499).

72056006101 is a wasteful number, since it uses less digits than its factorization.

72056006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385979.

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 72056006101 in words is "seventy-two billion, fifty-six million, six thousand, one hundred one".