72581605 has 8 divisors (see below), whose sum is σ = 89452152. Its totient is φ = 56495808.

The previous prime is 72581599. The next prime is 72581627. The reversal of 72581605 is 50618527.

It can be written as a sum of positive squares in 4 ways, for example, as 27436644 + 45144961 = 5238^2 + 6719^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 72581605 - 2⁵ = 72581573 is a prime.

It is a Duffinian number.

It is a congruent 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, 195982 + ... + 196351.

It is an arithmetic number, because the mean of its divisors is an integer number (11181519).

Almost surely, 2^72581605 is an apocalyptic number.

It is an amenable number.

72581605 is a deficient number, since it is larger than the sum of its proper divisors (16870547).

72581605 is a wasteful number, since it uses less digits than its factorization.

72581605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392375.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 72581605 is about 8519.4838458677. The cubic root of 72581605 is about 417.1339351663.

The spelling of 72581605 in words is "seventy-two million, five hundred eighty-one thousand, six hundred five".