72102578125 has 48 divisors (see below), whose sum is σ = 95840965584. Its totient is φ = 54056000000.

The previous prime is 72102578111. The next prime is 72102578131. The reversal of 72102578125 is 52187520127.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1008888169 + 71093689956 = 31763^2 + 266634^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72102578125 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 309453009 + ... + 309453241.

It is an arithmetic number, because the mean of its divisors is an integer number (1996686783).

Almost surely, 2^72102578125 is an apocalyptic number.

It is an amenable number.

72102578125 is a deficient number, since it is larger than the sum of its proper divisors (23738387459).

72102578125 is an frugal number, since it uses more digits than its factorization.

72102578125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 40.

The spelling of 72102578125 in words is "seventy-two billion, one hundred two million, five hundred seventy-eight thousand, one hundred twenty-five".