93721320 has 512 divisors, whose sum is σ = 414720000. Its totient is φ = 18627840.

The previous prime is 93721273. The next prime is 93721363. The reversal of 93721320 is 2312739.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4074829 + ... + 4074851.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 2^93721320 is an apocalyptic number.

93721320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93721320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360000).

93721320 is an abundant number, since it is smaller than the sum of its proper divisors (320998680).

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

93721320 is a wasteful number, since it uses less digits than its factorization.

93721320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

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

The square root of 93721320 is about 9680.9772234005. The cubic root of 93721320 is about 454.2338190224.

The spelling of 93721320 in words is "ninety-three million, seven hundred twenty-one thousand, three hundred twenty".