107407872 has 240 divisors, whose sum is σ = 366414048. Its totient is φ = 29859840.

The previous prime is 107407871. The next prime is 107407879. The reversal of 107407872 is 278704701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107407871) 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 23 ways as a sum of consecutive naturals, for example, 658863 + ... + 659025.

Almost surely, 2^107407872 is an apocalyptic number.

107407872 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 107407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183207024).

107407872 is an abundant number, since it is smaller than the sum of its proper divisors (259006176).

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

107407872 is a wasteful number, since it uses less digits than its factorization.

107407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 107407872 is about 10363.7769177072. The cubic root of 107407872 is about 475.3484010881.

The spelling of 107407872 in words is "one hundred seven million, four hundred seven thousand, eight hundred seventy-two".