72149426105 has 16 divisors (see below), whose sum is σ = 89764362000. Its totient is φ = 55605043200.

The previous prime is 72149426099. The next prime is 72149426137. The reversal of 72149426105 is 50162494127.

It can be written as a sum of positive squares in 8 ways, for example, as 7706557369 + 64442868736 = 87787^2 + 253856^2 .

It is not a de Polignac number, because 72149426105 - 2¹⁰ = 72149425081 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488996 + ... + 619205.

It is an arithmetic number, because the mean of its divisors is an integer number (5610272625).

Almost surely, 2^72149426105 is an apocalyptic number.

It is an amenable number.

72149426105 is a deficient number, since it is larger than the sum of its proper divisors (17614935895).

72149426105 is a wasteful number, since it uses less digits than its factorization.

72149426105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108684.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 72149426105 in words is "seventy-two billion, one hundred forty-nine million, four hundred twenty-six thousand, one hundred five".