108585972 has 72 divisors (see below), whose sum is σ = 307568352. Its totient is φ = 32011200.

The previous prime is 108585941. The next prime is 108585973. The reversal of 108585972 is 279585801.

It is a happy number.

108585972 is a `hidden beast` number, since 1 + 0 + 8 + 58 + 597 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108585973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10947 + ... + 18357.

Almost surely, 2^108585972 is an apocalyptic number.

108585972 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 108585972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153784176).

108585972 is an abundant number, since it is smaller than the sum of its proper divisors (198982380).

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

108585972 is a wasteful number, since it uses less digits than its factorization.

108585972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7469 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 108585972 is about 10420.4592988985. The cubic root of 108585972 is about 477.0800335099.

The spelling of 108585972 in words is "one hundred eight million, five hundred eighty-five thousand, nine hundred seventy-two".