72180205 has 8 divisors (see below), whose sum is σ = 86814432. Its totient is φ = 57612048.

The previous prime is 72180197. The next prime is 72180211. The reversal of 72180205 is 50208127.

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 72180205 - 2³ = 72180197 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 72180205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14079 + ... + 18508.

It is an arithmetic number, because the mean of its divisors is an integer number (10851804).

Almost surely, 2^72180205 is an apocalyptic number.

It is an amenable number.

72180205 is a deficient number, since it is larger than the sum of its proper divisors (14634227).

72180205 is a wasteful number, since it uses less digits than its factorization.

72180205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33035.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 72180205 is about 8495.8934197646. The cubic root of 72180205 is about 416.3635509213.

The spelling of 72180205 in words is "seventy-two million, one hundred eighty thousand, two hundred five".