72065667102101 has 8 divisors (see below), whose sum is σ = 75859167040800. Its totient is φ = 68272224172560.

The previous prime is 72065667102089. The next prime is 72065667102131. The reversal of 72065667102101 is 10120176656027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72065667102101 is a prime.

It is a super-2 number, since 2×72065667102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72065667102131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11645306 + ... + 16725563.

It is an arithmetic number, because the mean of its divisors is an integer number (9482395880100).

Almost surely, 2^{72065667102101} is an apocalyptic number.

It is an amenable number.

72065667102101 is a deficient number, since it is larger than the sum of its proper divisors (3793499938699).

72065667102101 is a wasteful number, since it uses less digits than its factorization.

72065667102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28504579.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 72065667102101 in words is "seventy-two trillion, sixty-five billion, six hundred sixty-seven million, one hundred two thousand, one hundred one".