72668 has 12 divisors (see below), whose sum is σ = 130872. Its totient is φ = 35280.

The previous prime is 72661. The next prime is 72671. The reversal of 72668 is 86627.

It is a self number, because there is not a number n which added to its sum of digits gives 72668.

It is a congruent number.

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

72668 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (10906).

2⁷²⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

72668 is a deficient number, since it is larger than the sum of its proper divisors (58204).

72668 is a wasteful number, since it uses less digits than its factorization.

72668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 72668 is about 269.5700280076. The cubic root of 72668 is about 41.7299376519.

The spelling of 72668 in words is "seventy-two thousand, six hundred sixty-eight".