72346 has 8 divisors (see below), whose sum is σ = 110484. Its totient is φ = 35520.

The previous prime is 72341. The next prime is 72353. The reversal of 72346 is 64327.

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 4225 = 261^2 + 65^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175 + ... + 418.

2⁷²³⁴⁶ is an apocalyptic number.

72346 is a deficient number, since it is larger than the sum of its proper divisors (38138).

72346 is a wasteful number, since it uses less digits than its factorization.

72346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its digits is 1008, while the sum is 22.

The square root of 72346 is about 268.9721175141. The cubic root of 72346 is about 41.6682097206.

The spelling of 72346 in words is "seventy-two thousand, three hundred forty-six".