142284072 has 96 divisors (see below), whose sum is σ = 425234880. Its totient is φ = 38860800.

The previous prime is 142284047. The next prime is 142284083. The reversal of 142284072 is 270482241.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88072 + ... + 89672.

It is an arithmetic number, because the mean of its divisors is an integer number (4429530).

Almost surely, 2^142284072 is an apocalyptic number.

142284072 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 142284072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212617440).

142284072 is an abundant number, since it is smaller than the sum of its proper divisors (282950808).

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

142284072 is a wasteful number, since it uses less digits than its factorization.

142284072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 142284072 is about 11928.2887288999. The cubic root of 142284072 is about 522.0580079691.

The spelling of 142284072 in words is "one hundred forty-two million, two hundred eighty-four thousand, seventy-two".