142072 has 32 divisors (see below), whose sum is σ = 316800. Its totient is φ = 58464.

The previous prime is 142067. The next prime is 142097. The reversal of 142072 is 270241.

142072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

142072 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 7 ways as a sum of consecutive naturals, for example, 2379 + ... + 2437.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2¹⁴²⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400).

142072 is an abundant number, since it is smaller than the sum of its proper divisors (174728).

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

142072 is a wasteful number, since it uses less digits than its factorization.

142072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 142072 is about 376.9243956021. The cubic root of 142072 is about 52.1798506125.

The spelling of 142072 in words is "one hundred forty-two thousand, seventy-two", and thus it is an iban number.