107727072 has 24 divisors (see below), whose sum is σ = 282783816. Its totient is φ = 35908992.

The previous prime is 107727043. The next prime is 107727143. The reversal of 107727072 is 270727701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 560983 + ... + 561174.

It is an arithmetic number, because the mean of its divisors is an integer number (11782659).

Almost surely, 2^107727072 is an apocalyptic number.

107727072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107727072 is an abundant number, since it is smaller than the sum of its proper divisors (175056744).

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

107727072 is a wasteful number, since it uses less digits than its factorization.

107727072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122170 (or 1122162 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 33.

The square root of 107727072 is about 10379.1652843569. The cubic root of 107727072 is about 475.8188233115.

The spelling of 107727072 in words is "one hundred seven million, seven hundred twenty-seven thousand, seventy-two".