72606 has 8 divisors (see below), whose sum is σ = 145224. Its totient is φ = 24200.

The previous prime is 72577. The next prime is 72613. The reversal of 72606 is 60627.

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

72606 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6045 + ... + 6056.

It is an arithmetic number, because the mean of its divisors is an integer number (18153).

2⁷²⁶⁰⁶ is an apocalyptic number.

72606 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72612).

72606 is a wasteful number, since it uses less digits than its factorization.

72606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12106.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72606 is about 269.4550055204. The cubic root of 72606 is about 41.7180663455.

Adding to 72606 its sum of digits (21), we get a palindrome (72627).

The spelling of 72606 in words is "seventy-two thousand, six hundred six".