72093 has 8 divisors (see below), whose sum is σ = 109888. Its totient is φ = 41184.

The previous prime is 72091. The next prime is 72101. The reversal of 72093 is 39027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72093 - 2¹ = 72091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 3433 = 72093 / (7 + 2 + 0 + 9 + 3).

It is the 269-th Hogben number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72091) by changing a digit.

It is a nontrivial repunit in base 268.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1696 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (13736).

2⁷²⁰⁹³ is an apocalyptic number.

It is an amenable number.

72093 is a deficient number, since it is larger than the sum of its proper divisors (37795).

72093 is a wasteful number, since it uses less digits than its factorization.

72093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443.

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

The square root of 72093 is about 268.5013966444. The cubic root of 72093 is about 41.6195805874.

The spelling of 72093 in words is "seventy-two thousand, ninety-three".