91753872 has 80 divisors (see below), whose sum is σ = 276470400. Its totient is φ = 26210688.

The previous prime is 91753861. The next prime is 91753903. The reversal of 91753872 is 27835719.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13678 + ... + 19250.

It is an arithmetic number, because the mean of its divisors is an integer number (3455880).

Almost surely, 2^91753872 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 91753872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138235200).

91753872 is an abundant number, since it is smaller than the sum of its proper divisors (184716528).

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

91753872 is a wasteful number, since it uses less digits than its factorization.

91753872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5585 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 91753872 is about 9578.8241449564. The cubic root of 91753872 is about 451.0328080059.

The spelling of 91753872 in words is "ninety-one million, seven hundred fifty-three thousand, eight hundred seventy-two".