72171167640761 has 16 divisors (see below), whose sum is σ = 82557638217600. Its totient is φ = 61803779217408.

The previous prime is 72171167640743. The next prime is 72171167640779. The reversal of 72171167640761 is 16704676117127.

It is an interprime number because it is at equal distance from previous prime (72171167640743) and next prime (72171167640779).

It is a cyclic number.

It is not a de Polignac number, because 72171167640761 - 2⁶ = 72171167640697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72171167640697 and 72171167640706.

It is not an unprimeable number, because it can be changed into a prime (72171167640361) 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, 144536435 + ... + 145034903.

It is an arithmetic number, because the mean of its divisors is an integer number (5159852388600).

Almost surely, 2^{72171167640761} is an apocalyptic number.

It is an amenable number.

72171167640761 is a deficient number, since it is larger than the sum of its proper divisors (10386470576839).

72171167640761 is a wasteful number, since it uses less digits than its factorization.

72171167640761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517568.

The product of its (nonzero) digits is 4148928, while the sum is 56.

The spelling of 72171167640761 in words is "seventy-two trillion, one hundred seventy-one billion, one hundred sixty-seven million, six hundred forty thousand, seven hundred sixty-one".