107722272 has 96 divisors (see below), whose sum is σ = 333656064. Its totient is φ = 29779200.

The previous prime is 107722213. The next prime is 107722301. The reversal of 107722272 is 272227701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 18247 + ... + 23417.

It is an arithmetic number, because the mean of its divisors is an integer number (3475584).

Almost surely, 2^107722272 is an apocalyptic number.

107722272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107722272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166828032).

107722272 is an abundant number, since it is smaller than the sum of its proper divisors (225933792).

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

107722272 is a wasteful number, since it uses less digits than its factorization.

107722272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 107722272 is about 10378.9340493135. The cubic root of 107722272 is about 475.8117561796.

Adding to 107722272 its reverse (272227701), we get a palindrome (379949973).

The spelling of 107722272 in words is "one hundred seven million, seven hundred twenty-two thousand, two hundred seventy-two".