72605 has 8 divisors (see below), whose sum is σ = 93912. Its totient is φ = 53568.

The previous prime is 72577. The next prime is 72613. The reversal of 72605 is 50627.

It can be written as a sum of positive squares in 4 ways, for example, as 1849 + 70756 = 43^2 + 266^2 .

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 72605 - 2¹⁶ = 7069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (11739).

2⁷²⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

72605 is a deficient number, since it is larger than the sum of its proper divisors (21307).

72605 is a wasteful number, since it uses less digits than its factorization.

72605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 72605 is about 269.4531499166. The cubic root of 72605 is about 41.7178748174.

The spelling of 72605 in words is "seventy-two thousand, six hundred five".