72943 has 8 divisors (see below), whose sum is σ = 81536. Its totient is φ = 64800.

The previous prime is 72937. The next prime is 72949. The reversal of 72943 is 34927.

It is an interprime number because it is at equal distance from previous prime (72937) and next prime (72949).

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 72943 - 2⁵ = 72911 is a prime.

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

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 (72949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2⁷²⁹⁴³ is an apocalyptic number.

72943 is a deficient number, since it is larger than the sum of its proper divisors (8593).

72943 is a wasteful number, since it uses less digits than its factorization.

72943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its digits is 1512, while the sum is 25.

The square root of 72943 is about 270.0796178907. The cubic root of 72943 is about 41.7825113992.

It can be divided in two parts, 72 and 943, that multiplied together give a triangular number (67896 = T₃₆₈).

The spelling of 72943 in words is "seventy-two thousand, nine hundred forty-three".