93391872 has 176 divisors, whose sum is σ = 293981952. Its totient is φ = 25804800.

The previous prime is 93391853. The next prime is 93391873. The reversal of 93391872 is 27819339.

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

It is not an unprimeable number, because it can be changed into a prime (93391873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924622 + ... + 924722.

It is an arithmetic number, because the mean of its divisors is an integer number (1670352).

Almost surely, 2^93391872 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 93391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990976).

93391872 is an abundant number, since it is smaller than the sum of its proper divisors (200590080).

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

93391872 is a wasteful number, since it uses less digits than its factorization.

93391872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 93391872 is about 9663.9470197223. The cubic root of 93391872 is about 453.7009551677.

It can be divided in two parts, 9339 and 1872, that added together give a palindrome (11211).

The spelling of 93391872 in words is "ninety-three million, three hundred ninety-one thousand, eight hundred seventy-two".