72646 has 8 divisors (see below), whose sum is σ = 124560. Its totient is φ = 31128.

The previous prime is 72643. The next prime is 72647. The reversal of 72646 is 64627.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72643) 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, 2581 + ... + 2608.

It is an arithmetic number, because the mean of its divisors is an integer number (15570).

2⁷²⁶⁴⁶ is an apocalyptic number.

72646 is a deficient number, since it is larger than the sum of its proper divisors (51914).

72646 is a wasteful number, since it uses less digits than its factorization.

72646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198.

The product of its digits is 2016, while the sum is 25.

The square root of 72646 is about 269.5292191952. The cubic root of 72646 is about 41.7257260260.

The spelling of 72646 in words is "seventy-two thousand, six hundred forty-six".