72873 has 8 divisors (see below), whose sum is σ = 108000. Its totient is φ = 48564.

The previous prime is 72871. The next prime is 72883. The reversal of 72873 is 37827.

It is not a de Polignac number, because 72873 - 2¹ = 72871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2699 = 72873 / (7 + 2 + 8 + 7 + 3).

It is not an unprimeable number, because it can be changed into a prime (72871) 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, 1323 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2⁷²⁸⁷³ is an apocalyptic number.

It is an amenable number.

72873 is a deficient number, since it is larger than the sum of its proper divisors (35127).

72873 is a wasteful number, since it uses less digits than its factorization.

72873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2702 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72873 is about 269.9499953695. The cubic root of 72873 is about 41.7691415448.

Adding to 72873 its sum of digits (27), we get a square (72900 = 270²).

The spelling of 72873 in words is "seventy-two thousand, eight hundred seventy-three".