160072006077 has 6 divisors (see below), whose sum is σ = 231215119902. Its totient is φ = 106714670712.

The previous prime is 160072006049. The next prime is 160072006109. The reversal of 160072006077 is 770600270061.

160072006077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 92360680281 + 67711325796 = 303909^2 + 260214^2 .

It is not a de Polignac number, because 160072006077 - 2¹⁵ = 160071973309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160072006277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8892889218 + ... + 8892889235.

It is an arithmetic number, because the mean of its divisors is an integer number (38535853317).

Almost surely, 2^160072006077 is an apocalyptic number.

It is an amenable number.

160072006077 is a deficient number, since it is larger than the sum of its proper divisors (71143113825).

160072006077 is a wasteful number, since it uses less digits than its factorization.

160072006077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17785778459 (or 17785778456 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

It can be divided in two parts, 16007 and 2006077, that added together give a square (2022084 = 1422²).

The spelling of 160072006077 in words is "one hundred sixty billion, seventy-two million, six thousand, seventy-seven".