142528272 has 160 divisors (see below), whose sum is σ = 425865600. Its totient is φ = 40771584.

The previous prime is 142528261. The next prime is 142528279. The reversal of 142528272 is 272825241.

142528272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142528279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449458 + ... + 449774.

It is an arithmetic number, because the mean of its divisors is an integer number (2661660).

Almost surely, 2^142528272 is an apocalyptic number.

142528272 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 142528272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212932800).

142528272 is an abundant number, since it is smaller than the sum of its proper divisors (283337328).

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

142528272 is a wasteful number, since it uses less digits than its factorization.

142528272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 142528272 is about 11938.5205113532. The cubic root of 142528272 is about 522.3565040195.

The spelling of 142528272 in words is "one hundred forty-two million, five hundred twenty-eight thousand, two hundred seventy-two".