72122583 has 32 divisors (see below), whose sum is σ = 107387392. Its totient is φ = 42768000.

The previous prime is 72122579. The next prime is 72122597. The reversal of 72122583 is 38522127.

It is not a de Polignac number, because 72122583 - 2² = 72122579 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72122583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72122683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217728 + ... + 218058.

It is an arithmetic number, because the mean of its divisors is an integer number (3355856).

Almost surely, 2^72122583 is an apocalyptic number.

72122583 is a deficient number, since it is larger than the sum of its proper divisors (35264809).

72122583 is a wasteful number, since it uses less digits than its factorization.

72122583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535.

The product of its digits is 6720, while the sum is 30.

The square root of 72122583 is about 8492.5015749189. The cubic root of 72122583 is about 416.2527260415.

The spelling of 72122583 in words is "seventy-two million, one hundred twenty-two thousand, five hundred eighty-three".