72006001077339 has 48 divisors (see below), whose sum is σ = 124094041156800. Its totient is φ = 39362976753408.

The previous prime is 72006001077229. The next prime is 72006001077347. The reversal of 72006001077339 is 93377010060027.

72006001077339 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 600 + 1 + 0 + 7 + 7 + 3 + 39 = 666.

It is not a de Polignac number, because 72006001077339 - 2⁷ = 72006001077211 is a prime.

It is a super-2 number, since 2×72006001077339² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72006001077294 and 72006001077303.

It is not an unprimeable number, because it can be changed into a prime (72006001027339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180590544 + ... + 180988829.

It is an arithmetic number, because the mean of its divisors is an integer number (2585292524100).

Almost surely, 2^{72006001077339} is an apocalyptic number.

72006001077339 is a deficient number, since it is larger than the sum of its proper divisors (52088040079461).

72006001077339 is a wasteful number, since it uses less digits than its factorization.

72006001077339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361579524 (or 361579521 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 72006001077339 in words is "seventy-two trillion, six billion, one million, seventy-seven thousand, three hundred thirty-nine".