72109444340 has 24 divisors (see below), whose sum is σ = 160337471112. Its totient is φ = 27147084800.

The previous prime is 72109444307. The next prime is 72109444349. The reversal of 72109444340 is 4344490127.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1299169936 + 70810274404 = 36044^2 + 266102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72109444294 and 72109444303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72109444349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106042961 + ... + 106043640.

It is an arithmetic number, because the mean of its divisors is an integer number (6680727963).

Almost surely, 2^72109444340 is an apocalyptic number.

It is an amenable number.

72109444340 is an abundant number, since it is smaller than the sum of its proper divisors (88228026772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72109444340 is a wasteful number, since it uses less digits than its factorization.

72109444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212086627 (or 212086625 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 72109444340 in words is "seventy-two billion, one hundred nine million, four hundred forty-four thousand, three hundred forty".