77142 has 32 divisors (see below), whose sum is σ = 177408. Its totient is φ = 22176.

The previous prime is 77141. The next prime is 77153. The reversal of 77142 is 24177.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

77142 is a Rhonda number in base 9.

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 (77141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773 + ... + 1815.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁷⁷¹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704).

77142 is an abundant number, since it is smaller than the sum of its proper divisors (100266).

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

77142 is a wasteful number, since it uses less digits than its factorization.

77142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its digits is 392, while the sum is 21.

The square root of 77142 is about 277.7444868940. The cubic root of 77142 is about 42.5693446937.

It can be divided in two parts, 7 and 7142, that multiplied together give a palindrome (49994).

The spelling of 77142 in words is "seventy-seven thousand, one hundred forty-two", and thus it is an iban number.