107672832 has 108 divisors (see below), whose sum is σ = 328828500. Its totient is φ = 33767424.

The previous prime is 107672779. The next prime is 107672857. The reversal of 107672832 is 238276701.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 61214976 = 6816^2 + 7824^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37794 + ... + 40542.

Almost surely, 2^107672832 is an apocalyptic number.

107672832 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 107672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164414250).

107672832 is an abundant number, since it is smaller than the sum of its proper divisors (221155668).

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

107672832 is a wasteful number, since it uses less digits than its factorization.

107672832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 107672832 is about 10376.5520284919. The cubic root of 107672832 is about 475.7389525010.

The spelling of 107672832 in words is "one hundred seven million, six hundred seventy-two thousand, eight hundred thirty-two".