107201728 has 56 divisors (see below), whose sum is σ = 231416352. Its totient is φ = 49065984.

The previous prime is 107201723. The next prime is 107201729. The reversal of 107201728 is 827102701.

It is a super-2 number, since 2×107201728² = 22984420972371968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107201696 and 107201705.

It is not an unprimeable number, because it can be changed into a prime (107201723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38925 + ... + 41587.

Almost surely, 2^107201728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115708176).

107201728 is an abundant number, since it is smaller than the sum of its proper divisors (124214624).

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

107201728 is a wasteful number, since it uses less digits than its factorization.

107201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 107201728 is about 10353.8267321797. The cubic root of 107201728 is about 475.0441000606.

The spelling of 107201728 in words is "one hundred seven million, two hundred one thousand, seven hundred twenty-eight".