72711507211 has 16 divisors (see below), whose sum is σ = 88018652160. Its totient is φ = 58636944000.

The previous prime is 72711507133. The next prime is 72711507287. The reversal of 72711507211 is 11270511727.

It is not a de Polignac number, because 72711507211 - 2¹⁷ = 72711376139 is a prime.

It is a super-3 number, since 3×72711507211³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72711501211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227086 + ... + 443836.

It is an arithmetic number, because the mean of its divisors is an integer number (5501165760).

Almost surely, 2^72711507211 is an apocalyptic number.

72711507211 is a deficient number, since it is larger than the sum of its proper divisors (15307144949).

72711507211 is a wasteful number, since it uses less digits than its factorization.

72711507211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219594.

The product of its (nonzero) digits is 6860, while the sum is 34.

The spelling of 72711507211 in words is "seventy-two billion, seven hundred eleven million, five hundred seven thousand, two hundred eleven".