91200 has 84 divisors (see below), whose sum is σ = 314960. Its totient is φ = 23040.

The previous prime is 91199. The next prime is 91229. The reversal of 91200 is 219.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4791 + ... + 4809.

2⁹¹²⁰⁰ 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 91200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157480).

91200 is an abundant number, since it is smaller than the sum of its proper divisors (223760).

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

91200 is a wasteful number, since it uses less digits than its factorization.

91200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 91200 is about 301.9933774108. The cubic root of 91200 is about 45.0123422935.

Adding to 91200 its reverse (219), we get a palindrome (91419).

The spelling of 91200 in words is "ninety-one thousand, two hundred".