73253 has 8 divisors (see below), whose sum is σ = 80640. Its totient is φ = 66240.

The previous prime is 73243. The next prime is 73259. The reversal of 73253 is 35237.

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 73253 - 2⁴ = 73237 is a prime.

It is a Duffinian 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 73253.

It is not an unprimeable number, because it can be changed into a prime (73259) 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, 458 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁷³²⁵³ is an apocalyptic number.

It is an amenable number.

73253 is a deficient number, since it is larger than the sum of its proper divisors (7387).

73253 is a wasteful number, since it uses less digits than its factorization.

73253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187.

The product of its digits is 630, while the sum is 20.

The square root of 73253 is about 270.6529142647. The cubic root of 73253 is about 41.8416181571.

The spelling of 73253 in words is "seventy-three thousand, two hundred fifty-three".