72984542309 has 16 divisors (see below), whose sum is σ = 84680902656. Its totient is φ = 61606234800.

The previous prime is 72984542261. The next prime is 72984542311. The reversal of 72984542309 is 90324548927.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72984542309 is a prime.

It is a super-2 number, since 2×72984542309² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72984542369) 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, 1700504 + ... + 1742894.

It is an arithmetic number, because the mean of its divisors is an integer number (5292556416).

Almost surely, 2^72984542309 is an apocalyptic number.

It is an amenable number.

72984542309 is a deficient number, since it is larger than the sum of its proper divisors (11696360347).

72984542309 is a wasteful number, since it uses less digits than its factorization.

72984542309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46136.

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 72984542309 in words is "seventy-two billion, nine hundred eighty-four million, five hundred forty-two thousand, three hundred nine".