72217262101 has 16 divisors (see below), whose sum is σ = 73826072320. Its totient is φ = 70630185600.

The previous prime is 72217262059. The next prime is 72217262137. The reversal of 72217262101 is 10126271227.

It is a cyclic number.

It is not a de Polignac number, because 72217262101 - 2¹¹ = 72217260053 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 (72217262141) 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, 3503776 + ... + 3524326.

It is an arithmetic number, because the mean of its divisors is an integer number (4614129520).

Almost surely, 2^72217262101 is an apocalyptic number.

It is an amenable number.

72217262101 is a deficient number, since it is larger than the sum of its proper divisors (1608810219).

72217262101 is a wasteful number, since it uses less digits than its factorization.

72217262101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21076.

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 72217262101 in words is "seventy-two billion, two hundred seventeen million, two hundred sixty-two thousand, one hundred one".