91711872 has 256 divisors, whose sum is σ = 329011200. Its totient is φ = 24551424.

The previous prime is 91711861. The next prime is 91711877. The reversal of 91711872 is 27811719.

It is a super-2 number, since 2×91711872² = 16822134931488768, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (7056) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91711877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411153 + ... + 411375.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^91711872 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 91711872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

91711872 is an abundant number, since it is smaller than the sum of its proper divisors (237299328).

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

91711872 is a wasteful number, since it uses less digits than its factorization.

91711872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

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

The square root of 91711872 is about 9576.6315581210. The cubic root of 91711872 is about 450.9639779621.

The spelling of 91711872 in words is "ninety-one million, seven hundred eleven thousand, eight hundred seventy-two".