72205643 has 8 divisors (see below), whose sum is σ = 77774400. Its totient is φ = 66813768.

The previous prime is 72205619. The next prime is 72205649. The reversal of 72205643 is 34650227.

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

It is a cyclic number.

It is not a de Polignac number, because 72205643 - 2¹⁰ = 72204619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72205649) 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, 43373 + ... + 45006.

It is an arithmetic number, because the mean of its divisors is an integer number (9721800).

Almost surely, 2^72205643 is an apocalyptic number.

72205643 is a deficient number, since it is larger than the sum of its proper divisors (5568757).

72205643 is a wasteful number, since it uses less digits than its factorization.

72205643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88441.

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 72205643 is about 8497.3903641059. The cubic root of 72205643 is about 416.4124572755.

The spelling of 72205643 in words is "seventy-two million, two hundred five thousand, six hundred forty-three".