72585620 has 24 divisors (see below), whose sum is σ = 155308104. Its totient is φ = 28486016.

The previous prime is 72585619. The next prime is 72585647. The reversal of 72585620 is 2658527.

It can be written as a sum of positive squares in 4 ways, for example, as 19324816 + 53260804 = 4396^2 + 7298^2 .

It is a congruent 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, 33179 + ... + 35298.

It is an arithmetic number, because the mean of its divisors is an integer number (6471171).

Almost surely, 2^72585620 is an apocalyptic number.

It is an amenable number.

72585620 is an abundant number, since it is smaller than the sum of its proper divisors (82722484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72585620 is a wasteful number, since it uses less digits than its factorization.

72585620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68539 (or 68537 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 72585620 is about 8519.7194789500. The cubic root of 72585620 is about 417.1416265635.

The spelling of 72585620 in words is "seventy-two million, five hundred eighty-five thousand, six hundred twenty".