91775472 has 80 divisors (see below), whose sum is σ = 252245760. Its totient is φ = 28670976.

The previous prime is 91775447. The next prime is 91775473. The reversal of 91775472 is 27457719.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91775473) 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 15 ways as a sum of consecutive naturals, for example, 93448 + ... + 94424.

It is an arithmetic number, because the mean of its divisors is an integer number (3153072).

Almost surely, 2^91775472 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 91775472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126122880).

91775472 is an abundant number, since it is smaller than the sum of its proper divisors (160470288).

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

91775472 is a wasteful number, since it uses less digits than its factorization.

91775472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its digits is 123480, while the sum is 42.

The square root of 91775472 is about 9579.9515656396. The cubic root of 91775472 is about 451.0681981355.

The spelling of 91775472 in words is "ninety-one million, seven hundred seventy-five thousand, four hundred seventy-two".