68742 has 32 divisors (see below), whose sum is σ = 163200. Its totient is φ = 21384.

The previous prime is 68737. The next prime is 68743. The reversal of 68742 is 24786.

Added to its reverse (24786) it gives a triangular number (93528 = T₄₃₂).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68743) by changing a digit.

68742 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 15 ways as a sum of consecutive naturals, for example, 993 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (5100).

2⁶⁸⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81600).

68742 is an abundant number, since it is smaller than the sum of its proper divisors (94458).

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

68742 is a wasteful number, since it uses less digits than its factorization.

68742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 68742 is about 262.1869561973. The cubic root of 68742 is about 40.9644744817.

Adding to 68742 its reverse (24786), we get a triangular number (93528 = T₄₃₂).

Subtracting from 68742 its reverse (24786), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 687 and 42, that added together give a 6-th power (729 = 3⁶).

The spelling of 68742 in words is "sixty-eight thousand, seven hundred forty-two".