91753216 has 72 divisors (see below), whose sum is σ = 200884320. Its totient is φ = 41631744.

The previous prime is 91753213. The next prime is 91753231. The reversal of 91753216 is 61235719.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (91753213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125845 + ... + 126571.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^91753216 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 91753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100442160).

91753216 is an abundant number, since it is smaller than the sum of its proper divisors (109131104).

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

91753216 is a wasteful number, since it uses less digits than its factorization.

91753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 775 counting only the distinct ones).

The product of its digits is 11340, while the sum is 34.

The square root of 91753216 is about 9578.7899026965. The cubic root of 91753216 is about 451.0317331077.

The spelling of 91753216 in words is "ninety-one million, seven hundred fifty-three thousand, two hundred sixteen".