73087 has 8 divisors (see below), whose sum is σ = 85536. Its totient is φ = 61152.

The previous prime is 73079. The next prime is 73091. The reversal of 73087 is 78037.

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

It is not a de Polignac number, because 73087 - 2³ = 73079 is a prime.

It is a super-4 number, since 4×73087⁴ (a number of 21 digits) contains 4444 as substring.

It is a Duffinian number.

73087 is a lucky number.

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 73087.

It is not an unprimeable number, because it can be changed into a prime (73037) 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, 273 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (10692).

2⁷³⁰⁸⁷ is an apocalyptic number.

73087 is a deficient number, since it is larger than the sum of its proper divisors (12449).

73087 is a wasteful number, since it uses less digits than its factorization.

73087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 73087 is about 270.3460745045. The cubic root of 73087 is about 41.8099882269.

Subtracting 73087 from its reverse (78037), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 7 and 3087, that multiplied together give a square (21609 = 147²).

The spelling of 73087 in words is "seventy-three thousand, eighty-seven".