72406 has 8 divisors (see below), whose sum is σ = 111384. Its totient is φ = 35280.

The previous prime is 72383. The next prime is 72421. The reversal of 72406 is 60427.

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

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, 360 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (13923).

2⁷²⁴⁰⁶ is an apocalyptic number.

72406 is a deficient number, since it is larger than the sum of its proper divisors (38978).

72406 is a wasteful number, since it uses less digits than its factorization.

72406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926.

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 72406 is about 269.0836301227. The cubic root of 72406 is about 41.6797256844.

The spelling of 72406 in words is "seventy-two thousand, four hundred six".