72588045 has 16 divisors (see below), whose sum is σ = 122973120. Its totient is φ = 36436224.

The previous prime is 72588031. The next prime is 72588049. The reversal of 72588045 is 54088527.

It is not a de Polignac number, because 72588045 - 2⁴ = 72588029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72587994 and 72588012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72588049) 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 15 ways as a sum of consecutive naturals, for example, 142075 + ... + 142584.

It is an arithmetic number, because the mean of its divisors is an integer number (7685820).

Almost surely, 2^72588045 is an apocalyptic number.

It is an amenable number.

72588045 is a deficient number, since it is larger than the sum of its proper divisors (50385075).

72588045 is a wasteful number, since it uses less digits than its factorization.

72588045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284684.

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 72588045 is about 8519.8617946537. The cubic root of 72588045 is about 417.1462719151.

The spelling of 72588045 in words is "seventy-two million, five hundred eighty-eight thousand, forty-five".