72588005 has 32 divisors (see below), whose sum is σ = 102643200. Its totient is φ = 48252672.

The previous prime is 72587989. The next prime is 72588007. The reversal of 72588005 is 50088527.

It is a cyclic number.

It is not a de Polignac number, because 72588005 - 2⁴ = 72587989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72588007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202016 + ... + 202374.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2^72588005 is an apocalyptic number.

It is an amenable number.

72588005 is a deficient number, since it is larger than the sum of its proper divisors (30055195).

72588005 is a wasteful number, since it uses less digits than its factorization.

72588005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533.

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 72588005 is about 8519.8594471975. The cubic root of 72588005 is about 417.1461952916.

The spelling of 72588005 in words is "seventy-two million, five hundred eighty-eight thousand, five".