91506752 has 56 divisors (see below), whose sum is σ = 190573152. Its totient is φ = 43545600.

The previous prime is 91506739. The next prime is 91506757. The reversal of 91506752 is 25760519.

It is not an unprimeable number, because it can be changed into a prime (91506757) 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, 112427 + ... + 113237.

It is an arithmetic number, because the mean of its divisors is an integer number (3403092).

Almost surely, 2^91506752 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 91506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95286576).

91506752 is an abundant number, since it is smaller than the sum of its proper divisors (99066400).

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

91506752 is a wasteful number, since it uses less digits than its factorization.

91506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 91506752 is about 9565.9161610376. The cubic root of 91506752 is about 450.6275228695.

The spelling of 91506752 in words is "ninety-one million, five hundred six thousand, seven hundred fifty-two".