93282672 has 120 divisors (see below), whose sum is σ = 296940816. Its totient is φ = 25073664.

The previous prime is 93282617. The next prime is 93282677. The reversal of 93282672 is 27628239.

It is a self number, because there is not a number n which added to its sum of digits gives 93282672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93282677) 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 23 ways as a sum of consecutive naturals, for example, 38818 + ... + 41150.

Almost surely, 2^93282672 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 93282672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148470408).

93282672 is an abundant number, since it is smaller than the sum of its proper divisors (203658144).

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

93282672 is a wasteful number, since it uses less digits than its factorization.

93282672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2362 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 93282672 is about 9658.2955017953. The cubic root of 93282672 is about 453.5240537383.

The spelling of 93282672 in words is "ninety-three million, two hundred eighty-two thousand, six hundred seventy-two".