72509125109 has 4 divisors (see below), whose sum is σ = 72511559340. Its totient is φ = 72506690880.

The previous prime is 72509125061. The next prime is 72509125123. The reversal of 72509125109 is 90152190527.

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 43027204900 + 29481920209 = 207430^2 + 171703^2 .

It is a cyclic number.

It is not a de Polignac number, because 72509125109 - 2³² = 68214157813 is a prime.

It is a super-2 number, since 2×72509125109² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72509125009) 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, 1171874 + ... + 1232195.

It is an arithmetic number, because the mean of its divisors is an integer number (18127889835).

Almost surely, 2^72509125109 is an apocalyptic number.

It is an amenable number.

72509125109 is a deficient number, since it is larger than the sum of its proper divisors (2434231).

72509125109 is a wasteful number, since it uses less digits than its factorization.

72509125109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434230.

The product of its (nonzero) digits is 56700, while the sum is 41.

The spelling of 72509125109 in words is "seventy-two billion, five hundred nine million, one hundred twenty-five thousand, one hundred nine".