91872108 has 72 divisors (see below), whose sum is σ = 238820400. Its totient is φ = 29767296.

The previous prime is 91872101. The next prime is 91872113. The reversal of 91872108 is 80127819.

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 (91872101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341398 + ... + 341666.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2^91872108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91872108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119410200).

91872108 is an abundant number, since it is smaller than the sum of its proper divisors (146948292).

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

91872108 is a wasteful number, since it uses less digits than its factorization.

91872108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 91872108 is about 9584.9938967117. The cubic root of 91872108 is about 451.2264616856.

The spelling of 91872108 in words is "ninety-one million, eight hundred seventy-two thousand, one hundred eight".