72006 has 16 divisors (see below), whose sum is σ = 157248. Its totient is φ = 21800.

The previous prime is 71999. The next prime is 72019. The reversal of 72006 is 60027.

72006 = 26² + 27² + ... + 61².

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

72006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2⁷²⁰⁰⁶ is an apocalyptic number.

72006 is an abundant number, since it is smaller than the sum of its proper divisors (85242).

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 (78624).

72006 is a wasteful number, since it uses less digits than its factorization.

72006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 72006 is about 268.3393374069. The cubic root of 72006 is about 41.6028320311.

The spelling of 72006 in words is "seventy-two thousand, six".