72587572009 has 8 divisors (see below), whose sum is σ = 77099887368. Its totient is φ = 68102196480.

The previous prime is 72587571977. The next prime is 72587572049. The reversal of 72587572009 is 90027578527.

It can be written as a sum of positive squares in 4 ways, for example, as 17416608784 + 55170963225 = 131972^2 + 234885^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72587572009 - 2⁵ = 72587571977 is a prime.

It is a super-2 number, since 2×72587572009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72587572049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6729402 + ... + 6740179.

It is an arithmetic number, because the mean of its divisors is an integer number (9637485921).

Almost surely, 2^72587572009 is an apocalyptic number.

It is an amenable number.

72587572009 is a deficient number, since it is larger than the sum of its proper divisors (4512315359).

72587572009 is a wasteful number, since it uses less digits than its factorization.

72587572009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13469915.

The product of its (nonzero) digits is 2469600, while the sum is 52.

The spelling of 72587572009 in words is "seventy-two billion, five hundred eighty-seven million, five hundred seventy-two thousand, nine".