93072 has 40 divisors (see below), whose sum is σ = 275776. Its totient is φ = 26496.

The previous prime is 93059. The next prime is 93077. The reversal of 93072 is 27039.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (93077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 474.

2⁹³⁰⁷² 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 93072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137888).

93072 is an abundant number, since it is smaller than the sum of its proper divisors (182704).

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

93072 is a wasteful number, since it uses less digits than its factorization.

93072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

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

The square root of 93072 is about 305.0770394507. The cubic root of 93072 is about 45.3182379575.

It can be divided in two parts, 9 and 3072, that added together give a triangular number (3081 = T₇₈).

The spelling of 93072 in words is "ninety-three thousand, seventy-two".