72912579149 has 16 divisors (see below), whose sum is σ = 75362165424. Its totient is φ = 70497676800.

The previous prime is 72912579133. The next prime is 72912579221. The reversal of 72912579149 is 94197521927.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2625025225 + 70287553924 = 51235^2 + 265118^2 .

It is a cyclic number.

It is not a de Polignac number, because 72912579149 - 2⁴ = 72912579133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72912579094 and 72912579103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72912579109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2157587 + ... + 2191119.

It is an arithmetic number, because the mean of its divisors is an integer number (4710135339).

Almost surely, 2^72912579149 is an apocalyptic number.

It is an amenable number.

72912579149 is a deficient number, since it is larger than the sum of its proper divisors (2449586275).

72912579149 is a wasteful number, since it uses less digits than its factorization.

72912579149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34048.

The product of its digits is 2857680, while the sum is 56.

The spelling of 72912579149 in words is "seventy-two billion, nine hundred twelve million, five hundred seventy-nine thousand, one hundred forty-nine".