72393 has 8 divisors (see below), whose sum is σ = 98400. Its totient is φ = 47328.

The previous prime is 72383. The next prime is 72421. The reversal of 72393 is 39327.

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

It is not a de Polignac number, because 72393 - 2⁹ = 71881 is a prime.

72393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72313) 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, 28 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (12300).

2⁷²³⁹³ is an apocalyptic number.

It is an amenable number.

72393 is a deficient number, since it is larger than the sum of its proper divisors (26007).

72393 is a wasteful number, since it uses less digits than its factorization.

72393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471.

The product of its digits is 1134, while the sum is 24.

The square root of 72393 is about 269.0594729795. The cubic root of 72393 is about 41.6772310990.

It can be divided in two parts, 72 and 393, that added together give a triangular number (465 = T₃₀).

The spelling of 72393 in words is "seventy-two thousand, three hundred ninety-three".