73887 has 8 divisors (see below), whose sum is σ = 107520. Its totient is φ = 44760.

The previous prime is 73883. The next prime is 73897. The reversal of 73887 is 78837.

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

It is not a de Polignac number, because 73887 - 2² = 73883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2239 = 73887 / (7 + 3 + 8 + 8 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73883) 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, 1087 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2⁷³⁸⁸⁷ is an apocalyptic number.

73887 is a deficient number, since it is larger than the sum of its proper divisors (33633).

73887 is a wasteful number, since it uses less digits than its factorization.

73887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253.

The product of its digits is 9408, while the sum is 33.

The square root of 73887 is about 271.8216326932. The cubic root of 73887 is about 41.9619837406.

Adding to 73887 its sum of digits (33), we get a triangular number (73920 = T₃₈₄).

Subtracting 73887 from its reverse (78837), we obtain a triangular number (4950 = T₉₉).

The spelling of 73887 in words is "seventy-three thousand, eight hundred eighty-seven".