91152 has 40 divisors (see below), whose sum is σ = 262880. Its totient is φ = 30240.

The previous prime is 91151. The next prime is 91153. The reversal of 91152 is 25119.

It is an interprime number because it is at equal distance from previous prime (91151) and next prime (91153).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91152.

It is not an unprimeable number, because it can be changed into a prime (91151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (6572).

2⁹¹¹⁵² 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 91152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131440).

91152 is an abundant number, since it is smaller than the sum of its proper divisors (171728).

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

91152 is a wasteful number, since it uses less digits than its factorization.

91152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 91152 is about 301.9138950098. The cubic root of 91152 is about 45.0044440056.

It can be divided in two parts, 91 and 152, that added together give a 5-th power (243 = 3⁵).

The spelling of 91152 in words is "ninety-one thousand, one hundred fifty-two".