91742112 has 288 divisors, whose sum is σ = 341288640. Its totient is φ = 23708160.

The previous prime is 91742111. The next prime is 91742117. The reversal of 91742112 is 21124719.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×91742112² = 16833230228441088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (91742111) 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 47 ways as a sum of consecutive naturals, for example, 465598 + ... + 465794.

It is an arithmetic number, because the mean of its divisors is an integer number (1185030).

Almost surely, 2^91742112 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 91742112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170644320).

91742112 is an abundant number, since it is smaller than the sum of its proper divisors (249546528).

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

91742112 is a wasteful number, since it uses less digits than its factorization.

91742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 91742112 is about 9578.2102712354. The cubic root of 91742112 is about 451.0135377113.

The spelling of 91742112 in words is "ninety-one million, seven hundred forty-two thousand, one hundred twelve".