91642752 has 80 divisors (see below), whose sum is σ = 272758200. Its totient is φ = 30544128.

The previous prime is 91642751. The next prime is 91642781. The reversal of 91642752 is 25724619.

91642752 is a `hidden beast` number, since 9 + 1 + 642 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91642751) 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 9 ways as a sum of consecutive naturals, for example, 5949 + ... + 14787.

Almost surely, 2^91642752 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 91642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136379100).

91642752 is an abundant number, since it is smaller than the sum of its proper divisors (181115448).

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

91642752 is an equidigital number, since it uses as much as digits as its factorization.

91642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8844 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 91642752 is about 9573.0220933622. The cubic root of 91642752 is about 450.8506576126.

The spelling of 91642752 in words is "ninety-one million, six hundred forty-two thousand, seven hundred fifty-two".