72585527 has 8 divisors (see below), whose sum is σ = 85197216. Its totient is φ = 60534432.

The previous prime is 72585523. The next prime is 72585533. The reversal of 72585527 is 72558527.

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

It is not a de Polignac number, because 72585527 - 2² = 72585523 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72585523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139868 + ... + 140385.

It is an arithmetic number, because the mean of its divisors is an integer number (10649652).

Almost surely, 2^72585527 is an apocalyptic number.

72585527 is a deficient number, since it is larger than the sum of its proper divisors (12611689).

72585527 is a wasteful number, since it uses less digits than its factorization.

72585527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280297.

The product of its digits is 196000, while the sum is 41.

The square root of 72585527 is about 8519.7140210221. The cubic root of 72585527 is about 417.1414484098.

Subtracting from 72585527 its reverse (72558527), we obtain a cube (27000 = 30³).

The spelling of 72585527 in words is "seventy-two million, five hundred eighty-five thousand, five hundred twenty-seven".