142272 has 84 divisors (see below), whose sum is σ = 462280. Its totient is φ = 41472.

The previous prime is 142271. The next prime is 142297. The reversal of 142272 is 272241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7479 + ... + 7497.

2¹⁴²²⁷² is an apocalyptic number.

142272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231140).

142272 is an abundant number, since it is smaller than the sum of its proper divisors (320008).

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

142272 is a wasteful number, since it uses less digits than its factorization.

142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 37 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 142272 is about 377.1896074920. The cubic root of 142272 is about 52.2043242994.

It can be divided in two parts, 142 and 272, that added together give a palindrome (414).

The spelling of 142272 in words is "one hundred forty-two thousand, two hundred seventy-two", and thus it is an iban number.