72663 has 8 divisors (see below), whose sum is σ = 98928. Its totient is φ = 47424.

The previous prime is 72661. The next prime is 72671. The reversal of 72663 is 36627.

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

It is not a de Polignac number, because 72663 - 2¹ = 72661 is a prime.

72663 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (12366).

2⁷²⁶⁶³ is an apocalyptic number.

72663 is a deficient number, since it is larger than the sum of its proper divisors (26265).

72663 is a wasteful number, since it uses less digits than its factorization.

72663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513.

The product of its digits is 1512, while the sum is 24.

The square root of 72663 is about 269.5607538200. The cubic root of 72663 is about 41.7289805389.

The spelling of 72663 in words is "seventy-two thousand, six hundred sixty-three".