72588621 has 16 divisors (see below), whose sum is σ = 115421184. Its totient is φ = 39675504.

The previous prime is 72588559. The next prime is 72588661. The reversal of 72588621 is 12688527.

It is not a de Polignac number, because 72588621 - 2¹⁰ = 72587597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72588621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72588661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74661 + ... + 75626.

It is an arithmetic number, because the mean of its divisors is an integer number (7213824).

Almost surely, 2^72588621 is an apocalyptic number.

It is an amenable number.

72588621 is a deficient number, since it is larger than the sum of its proper divisors (42832563).

72588621 is a wasteful number, since it uses less digits than its factorization.

72588621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150320.

The product of its digits is 53760, while the sum is 39.

The square root of 72588621 is about 8519.8955979519. The cubic root of 72588621 is about 417.1473752906.

The spelling of 72588621 in words is "seventy-two million, five hundred eighty-eight thousand, six hundred twenty-one".