72712205 has 16 divisors (see below), whose sum is σ = 90782208. Its totient is φ = 55848000.

The previous prime is 72712201. The next prime is 72712217. The reversal of 72712205 is 50221727.

It is not a de Polignac number, because 72712205 - 2² = 72712201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72712201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18515 + ... + 22095.

It is an arithmetic number, because the mean of its divisors is an integer number (5673888).

Almost surely, 2^72712205 is an apocalyptic number.

It is an amenable number.

72712205 is a deficient number, since it is larger than the sum of its proper divisors (18070003).

72712205 is a wasteful number, since it uses less digits than its factorization.

72712205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 72712205 is about 8527.1451846442. The cubic root of 72712205 is about 417.3839757914.

The spelling of 72712205 in words is "seventy-two million, seven hundred twelve thousand, two hundred five".