145728 has 84 divisors (see below), whose sum is σ = 475488. Its totient is φ = 42240.

The previous prime is 145723. The next prime is 145753. The reversal of 145728 is 827541.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6325 + ... + 6347.

2¹⁴⁵⁷²⁸ is an apocalyptic number.

145728 is a gapful number since it is divisible by the number (18) 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 145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237744).

145728 is an abundant number, since it is smaller than the sum of its proper divisors (329760).

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

145728 is a wasteful number, since it uses less digits than its factorization.

145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 39 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 145728 is about 381.7433692941. The cubic root of 145728 is about 52.6236541050.

It can be divided in two parts, 1457 and 28, that added together give a triangular number (1485 = T₅₄).

The spelling of 145728 in words is "one hundred forty-five thousand, seven hundred twenty-eight".