93082752 has 288 divisors, whose sum is σ = 333316620. Its totient is φ = 24772608.

The previous prime is 93082727. The next prime is 93082763. The reversal of 93082752 is 25728039.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 1382976 = 9576^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 959568 + ... + 959664.

Almost surely, 2^93082752 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 93082752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166658310).

93082752 is an abundant number, since it is smaller than the sum of its proper divisors (240233868).

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

93082752 is a wasteful number, since it uses less digits than its factorization.

93082752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

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

The square root of 93082752 is about 9647.9402983227. The cubic root of 93082752 is about 453.1998299691.

The spelling of 93082752 in words is "ninety-three million, eighty-two thousand, seven hundred fifty-two".