72839657601 has 6 divisors (see below), whose sum is σ = 105212838770. Its totient is φ = 48559771728.

The previous prime is 72839657549. The next prime is 72839657647. The reversal of 72839657601 is 10675693827.

72839657601 is a `hidden beast` number, since 7 + 28 + 3 + 9 + 6 + 5 + 7 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56596410000 + 16243247601 = 237900^2 + 127449^2 .

It is not a de Polignac number, because 72839657601 - 2⁶ = 72839657537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72839657101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4046647636 + ... + 4046647653.

Almost surely, 2^72839657601 is an apocalyptic number.

It is an amenable number.

72839657601 is a deficient number, since it is larger than the sum of its proper divisors (32373181169).

72839657601 is a wasteful number, since it uses less digits than its factorization.

72839657601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093295295 (or 8093295292 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 72839657601 in words is "seventy-two billion, eight hundred thirty-nine million, six hundred fifty-seven thousand, six hundred one".