72045617 has 8 divisors (see below), whose sum is σ = 83498112. Its totient is φ = 60883200.

The previous prime is 72045613. The next prime is 72045619. The reversal of 72045617 is 71654027.

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

It is not a de Polignac number, because 72045617 - 2² = 72045613 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72045613) 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 7 ways as a sum of consecutive naturals, for example, 71984 + ... + 72977.

It is an arithmetic number, because the mean of its divisors is an integer number (10437264).

Almost surely, 2^72045617 is an apocalyptic number.

It is an amenable number.

72045617 is a deficient number, since it is larger than the sum of its proper divisors (11452495).

72045617 is a wasteful number, since it uses less digits than its factorization.

72045617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145039.

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 72045617 is about 8487.9689561167. The cubic root of 72045617 is about 416.1046045656.

It can be divided in two parts, 7204 and 5617, that added together give a palindrome (12821).

The spelling of 72045617 in words is "seventy-two million, forty-five thousand, six hundred seventeen".