72588001 has 8 divisors (see below), whose sum is σ = 73932320. Its totient is φ = 71251488.

The previous prime is 72587989. The next prime is 72588007. The reversal of 72588001 is 10088527.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72588001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72588007) 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, 18805 + ... + 22333.

It is an arithmetic number, because the mean of its divisors is an integer number (9241540).

Almost surely, 2^72588001 is an apocalyptic number.

It is an amenable number.

72588001 is a deficient number, since it is larger than the sum of its proper divisors (1344319).

72588001 is a wasteful number, since it uses less digits than its factorization.

72588001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903.

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 72588001 is about 8519.8592124518. The cubic root of 72588001 is about 417.1461876292.

The spelling of 72588001 in words is "seventy-two million, five hundred eighty-eight thousand, one".