72960585 has 8 divisors (see below), whose sum is σ = 116736960. Its totient is φ = 38912304.

The previous prime is 72960571. The next prime is 72960599. The reversal of 72960585 is 58506927.

It is an interprime number because it is at equal distance from previous prime (72960571) and next prime (72960599).

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

It is not a de Polignac number, because 72960585 - 2⁷ = 72960457 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2432005 + ... + 2432034.

It is an arithmetic number, because the mean of its divisors is an integer number (14592120).

Almost surely, 2^72960585 is an apocalyptic number.

It is an amenable number.

72960585 is a deficient number, since it is larger than the sum of its proper divisors (43776375).

72960585 is a wasteful number, since it uses less digits than its factorization.

72960585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864047.

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 72960585 is about 8541.6968454751. The cubic root of 72960585 is about 417.8586875328.

The spelling of 72960585 in words is "seventy-two million, nine hundred sixty thousand, five hundred eighty-five".