72968 has 16 divisors (see below), whose sum is σ = 156480. Its totient is φ = 31248.

The previous prime is 72959. The next prime is 72973. The reversal of 72968 is 86927.

Added to its reverse (86927) it gives a triangular number (159895 = T₅₆₅).

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, 596 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (9780).

2⁷²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

72968 is an abundant number, since it is smaller than the sum of its proper divisors (83512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78240).

72968 is a wasteful number, since it uses less digits than its factorization.

72968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 72968 is about 270.1258965742. The cubic root of 72968 is about 41.7872842743.

Adding to 72968 its reverse (86927), we get a triangular number (159895 = T₅₆₅).

It can be divided in two parts, 729 and 68, that added together give a palindrome (797).

The spelling of 72968 in words is "seventy-two thousand, nine hundred sixty-eight".