72253585 has 8 divisors (see below), whose sum is σ = 88126056. Its totient is φ = 56855040.

The previous prime is 72253549. The next prime is 72253589. The reversal of 72253585 is 58535227.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 71520849 = 856^2 + 8457^2 .

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

It is not a de Polignac number, because 72253585 - 2¹⁹ = 71729297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72253589) 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, 118144 + ... + 118753.

It is an arithmetic number, because the mean of its divisors is an integer number (11015757).

Almost surely, 2^72253585 is an apocalyptic number.

It is an amenable number.

72253585 is a deficient number, since it is larger than the sum of its proper divisors (15872471).

72253585 is a wasteful number, since it uses less digits than its factorization.

72253585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236963.

The product of its digits is 84000, while the sum is 37.

The square root of 72253585 is about 8500.2108797370. The cubic root of 72253585 is about 416.5045979469.

The spelling of 72253585 in words is "seventy-two million, two hundred fifty-three thousand, five hundred eighty-five".