72551585 has 8 divisors (see below), whose sum is σ = 87201576. Its totient is φ = 57948160.

The previous prime is 72551569. The next prime is 72551603. The reversal of 72551585 is 58515527.

It can be written as a sum of positive squares in 4 ways, for example, as 12845056 + 59706529 = 3584^2 + 7727^2 .

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

It is not a de Polignac number, because 72551585 - 2⁴ = 72551569 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8114 + ... + 14523.

It is an arithmetic number, because the mean of its divisors is an integer number (10900197).

Almost surely, 2^72551585 is an apocalyptic number.

It is an amenable number.

72551585 is a deficient number, since it is larger than the sum of its proper divisors (14649991).

72551585 is a wasteful number, since it uses less digits than its factorization.

72551585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23283.

The product of its digits is 70000, while the sum is 38.

The square root of 72551585 is about 8517.7218198295. The cubic root of 72551585 is about 417.0764178951.

The spelling of 72551585 in words is "seventy-two million, five hundred fifty-one thousand, five hundred eighty-five".