101728656672 has 48 divisors (see below), whose sum is σ = 267055461792. Its totient is φ = 33907299840.

The previous prime is 101728656671. The next prime is 101728656719. The reversal of 101728656672 is 276656827101.

101728656672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (101728656671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2070147 + ... + 2118717.

It is an arithmetic number, because the mean of its divisors is an integer number (5563655454).

Almost surely, 2^101728656672 is an apocalyptic number.

101728656672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101728656672 is an abundant number, since it is smaller than the sum of its proper divisors (165326805120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101728656672 is a wasteful number, since it uses less digits than its factorization.

101728656672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70401 (or 70393 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 101728656672 in words is "one hundred one billion, seven hundred twenty-eight million, six hundred fifty-six thousand, six hundred seventy-two".