72607534209 has 24 divisors (see below), whose sum is σ = 119999680320. Its totient is φ = 41441688288.

The previous prime is 72607534187. The next prime is 72607534243. The reversal of 72607534209 is 90243570627.

72607534209 is a `hidden beast` number, since 7 + 2 + 607 + 5 + 34 + 2 + 0 + 9 = 666.

It is not a de Polignac number, because 72607534209 - 2¹² = 72607530113 is a prime.

It is a super-2 number, since 2×72607534209² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72607534009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616722 + ... + 724955.

It is an arithmetic number, because the mean of its divisors is an integer number (4999986680).

Almost surely, 2^72607534209 is an apocalyptic number.

It is an amenable number.

72607534209 is a deficient number, since it is larger than the sum of its proper divisors (47392146111).

72607534209 is a wasteful number, since it uses less digits than its factorization.

72607534209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342549 (or 1342546 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 72607534209 in words is "seventy-two billion, six hundred seven million, five hundred thirty-four thousand, two hundred nine".