107172720 has 240 divisors, whose sum is σ = 385912800. Its totient is φ = 27620352.

The previous prime is 107172697. The next prime is 107172721. The reversal of 107172720 is 27271701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×107172720² = 22971983824396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107172721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 719206 + ... + 719354.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 2^107172720 is an apocalyptic number.

107172720 is a gapful number since it is divisible by the number (10) 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 107172720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192956400).

107172720 is an abundant number, since it is smaller than the sum of its proper divisors (278740080).

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

107172720 is a wasteful number, since it uses less digits than its factorization.

107172720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 107172720 is about 10352.4258026803. The cubic root of 107172720 is about 475.0012483808.

The spelling of 107172720 in words is "one hundred seven million, one hundred seventy-two thousand, seven hundred twenty".