107767872 has 84 divisors (see below), whose sum is σ = 310652160. Its totient is φ = 35718912.

The previous prime is 107767871. The next prime is 107767901. The reversal of 107767872 is 278767701.

It is a happy number.

It is a super-2 number, since 2×107767872² = 23227828470816768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107767871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128029 + ... + 128867.

It is an arithmetic number, because the mean of its divisors is an integer number (3698240).

Almost surely, 2^107767872 is an apocalyptic number.

107767872 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 107767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155326080).

107767872 is an abundant number, since it is smaller than the sum of its proper divisors (202884288).

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

107767872 is a wasteful number, since it uses less digits than its factorization.

107767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The square root of 107767872 is about 10381.1305742679. The cubic root of 107767872 is about 475.8788854583.

The spelling of 107767872 in words is "one hundred seven million, seven hundred sixty-seven thousand, eight hundred seventy-two".