91722800 has 120 divisors (see below), whose sum is σ = 245400960. Its totient is φ = 32716800.

The previous prime is 91722793. The next prime is 91722809. The reversal of 91722800 is 822719.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (91722809) 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 23 ways as a sum of consecutive naturals, for example, 160916 + ... + 161484.

It is an arithmetic number, because the mean of its divisors is an integer number (2045008).

Almost surely, 2^91722800 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 91722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122700480).

91722800 is an abundant number, since it is smaller than the sum of its proper divisors (153678160).

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

91722800 is a wasteful number, since it uses less digits than its factorization.

91722800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 91722800 is about 9577.2020966460. The cubic root of 91722800 is about 450.9818889062.

The spelling of 91722800 in words is "ninety-one million, seven hundred twenty-two thousand, eight hundred".