67072138331 has 16 divisors (see below), whose sum is σ = 75017318400. Its totient is φ = 59445012480.

The previous prime is 67072138307. The next prime is 67072138337. The reversal of 67072138331 is 13383127076.

It is a cyclic number.

It is not a de Polignac number, because 67072138331 - 2³⁰ = 65998396507 is a prime.

It is a super-2 number, since 2×67072138331² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67072138337) 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, 119531 + ... + 385268.

It is an arithmetic number, because the mean of its divisors is an integer number (4688582400).

Almost surely, 2^67072138331 is an apocalyptic number.

67072138331 is a deficient number, since it is larger than the sum of its proper divisors (7945180069).

67072138331 is a wasteful number, since it uses less digits than its factorization.

67072138331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505114.

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 67072138331 in words is "sixty-seven billion, seventy-two million, one hundred thirty-eight thousand, three hundred thirty-one".