91392 has 72 divisors (see below), whose sum is σ = 294336. Its totient is φ = 24576.

The previous prime is 91387. The next prime is 91393. The reversal of 91392 is 29319.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91392.

It is not an unprimeable number, because it can be changed into a prime (91393) by changing a digit.

91392 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 5368 + ... + 5384.

It is an arithmetic number, because the mean of its divisors is an integer number (4088).

2⁹¹³⁹² 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 91392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168).

91392 is an abundant number, since it is smaller than the sum of its proper divisors (202944).

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

91392 is a wasteful number, since it uses less digits than its factorization.

91392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 91392 is about 302.3110980431. The cubic root of 91392 is about 45.0439077613.

The spelling of 91392 in words is "ninety-one thousand, three hundred ninety-two".