68772 has 24 divisors (see below), whose sum is σ = 175392. Its totient is φ = 20800.

The previous prime is 68771. The next prime is 68777. The reversal of 68772 is 27786.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (68771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (7308).

2⁶⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

68772 is an abundant number, since it is smaller than the sum of its proper divisors (106620).

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 (87696).

68772 is a wasteful number, since it uses less digits than its factorization.

68772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 68772 is about 262.2441610408. The cubic root of 68772 is about 40.9704327775.

It can be divided in two parts, 6 and 8772, that added together give a palindrome (8778).

The spelling of 68772 in words is "sixty-eight thousand, seven hundred seventy-two".