107520072 has 32 divisors (see below), whose sum is σ = 293237280. Its totient is φ = 32581760.

The previous prime is 107520071. The next prime is 107520073. The reversal of 107520072 is 270025701.

It is an interprime number because it is at equal distance from previous prime (107520071) and next prime (107520073).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (107520071) 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, 203373 + ... + 203900.

It is an arithmetic number, because the mean of its divisors is an integer number (9163665).

Almost surely, 2^107520072 is an apocalyptic number.

107520072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107520072 is an abundant number, since it is smaller than the sum of its proper divisors (185717208).

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

107520072 is a wasteful number, since it uses less digits than its factorization.

107520072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407293 (or 407289 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 107520072 is about 10369.1885892774. The cubic root of 107520072 is about 475.5138623625.

Adding to 107520072 its reverse (270025701), we get a palindrome (377545773).

The spelling of 107520072 in words is "one hundred seven million, five hundred twenty thousand, seventy-two".