93321072 has 200 divisors, whose sum is σ = 302480640. Its totient is φ = 27578880.

The previous prime is 93321049. The next prime is 93321073. The reversal of 93321072 is 27012339.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93321073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 488497 + ... + 488687.

Almost surely, 2^93321072 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 93321072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

93321072 is an abundant number, since it is smaller than the sum of its proper divisors (209159568).

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

93321072 is a wasteful number, since it uses less digits than its factorization.

93321072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 93321072 is about 9660.2832256617. The cubic root of 93321072 is about 453.5862765647.

It can be divided in two parts, 9332 and 1072, that added together give a square (10404 = 102²).

The spelling of 93321072 in words is "ninety-three million, three hundred twenty-one thousand, seventy-two".