91171872 has 192 divisors, whose sum is σ = 297198720. Its totient is φ = 26956800.

The previous prime is 91171859. The next prime is 91171877. The reversal of 91171872 is 27817119.

91171872 = 43³ + 44³ + ... + 138³.

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 (91171877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503622 + ... + 503802.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^91171872 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 91171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

91171872 is an abundant number, since it is smaller than the sum of its proper divisors (206026848).

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

91171872 is a wasteful number, since it uses less digits than its factorization.

91171872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 91171872 is about 9548.3963051394. The cubic root of 91171872 is about 450.0771423305.

The spelling of 91171872 in words is "ninety-one million, one hundred seventy-one thousand, eight hundred seventy-two".