72381 has 8 divisors (see below), whose sum is σ = 100800. Its totient is φ = 46112.

The previous prime is 72379. The next prime is 72383. The reversal of 72381 is 18327.

It is an interprime number because it is at equal distance from previous prime (72379) and next prime (72383).

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

It is a cyclic number.

It is not a de Polignac number, because 72381 - 2¹ = 72379 is a prime.

It is a super-2 number, since 2×72381² = 10478018322, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 16.

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 72381.

It is not an unprimeable number, because it can be changed into a prime (72383) 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, 456 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2⁷²³⁸¹ is an apocalyptic number.

It is an amenable number.

72381 is a deficient number, since it is larger than the sum of its proper divisors (28419).

72381 is a wasteful number, since it uses less digits than its factorization.

72381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075.

The product of its digits is 336, while the sum is 21.

The square root of 72381 is about 269.0371721528. The cubic root of 72381 is about 41.6749281396.

The spelling of 72381 in words is "seventy-two thousand, three hundred eighty-one".