72010712105 has 8 divisors (see below), whose sum is σ = 86423955912. Its totient is φ = 57601168768.

The previous prime is 72010712069. The next prime is 72010712113. The reversal of 72010712105 is 50121701027.

It can be written as a sum of positive squares in 4 ways, for example, as 172239376 + 71838472729 = 13124^2 + 268027^2 .

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 72010712105 - 2¹² = 72010708009 is a prime.

It is a super-3 number, since 3×72010712105³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882122 + ... + 960291.

It is an arithmetic number, because the mean of its divisors is an integer number (10802994489).

Almost surely, 2^72010712105 is an apocalyptic number.

It is an amenable number.

72010712105 is a deficient number, since it is larger than the sum of its proper divisors (14413243807).

72010712105 is a wasteful number, since it uses less digits than its factorization.

72010712105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850235.

The product of its (nonzero) digits is 980, while the sum is 26.

The spelling of 72010712105 in words is "seventy-two billion, ten million, seven hundred twelve thousand, one hundred five".