93720 has 64 divisors (see below), whose sum is σ = 311040. Its totient is φ = 22400.

The previous prime is 93719. The next prime is 93739. The reversal of 93720 is 2739.

93720 = T₁₂₅ + T₁₂₆ + ... + T₁₃₅.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁹³⁷²⁰ 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 93720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

93720 is an abundant number, since it is smaller than the sum of its proper divisors (217320).

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

93720 is a wasteful number, since it uses less digits than its factorization.

93720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 93720 is about 306.1372241332. The cubic root of 93720 is about 45.4231686489.

The spelling of 93720 in words is "ninety-three thousand, seven hundred twenty".