157728 has 48 divisors (see below), whose sum is σ = 435456. Its totient is φ = 49920.

The previous prime is 157721. The next prime is 157733. The reversal of 157728 is 827751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 157695 and 157704.

It is not an unprimeable number, because it can be changed into a prime (157721) by changing a digit.

157728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2950 + ... + 3002.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹⁵⁷⁷²⁸ 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 157728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728).

157728 is an abundant number, since it is smaller than the sum of its proper divisors (277728).

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

157728 is a wasteful number, since it uses less digits than its factorization.

157728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its digits is 3920, while the sum is 30.

The square root of 157728 is about 397.1498457761. The cubic root of 157728 is about 54.0301614768.

The spelling of 157728 in words is "one hundred fifty-seven thousand, seven hundred twenty-eight".