107412672 has 56 divisors (see below), whose sum is σ = 290267136. Its totient is φ = 35039488.

The previous prime is 107412671. The next prime is 107412703. The reversal of 107412672 is 276214701.

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 not an unprimeable number, because it can be changed into a prime (107412671) 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, 3073 + ... + 14975.

Almost surely, 2^107412672 is an apocalyptic number.

107412672 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 107412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145133568).

107412672 is an abundant number, since it is smaller than the sum of its proper divisors (182854464).

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

107412672 is a wasteful number, since it uses less digits than its factorization.

107412672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 107412672 is about 10364.0084909267. The cubic root of 107412672 is about 475.3554820040.

The spelling of 107412672 in words is "one hundred seven million, four hundred twelve thousand, six hundred seventy-two".