728157 has 16 divisors (see below), whose sum is σ = 1035648. Its totient is φ = 454080.

The previous prime is 728131. The next prime is 728173. The reversal of 728157 is 751827.

It is a happy number.

It is not a de Polignac number, because 728157 - 2¹¹ = 726109 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728157.

It is not an unprimeable number, because it can be changed into a prime (728557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4123 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (64728).

2⁷²⁸¹⁵⁷ is an apocalyptic number.

It is an amenable number.

728157 is a deficient number, since it is larger than the sum of its proper divisors (307491).

728157 is a wasteful number, since it uses less digits than its factorization.

728157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260.

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

The square root of 728157 is about 853.3211587673. The cubic root of 728157 is about 89.9652952613.

The spelling of 728157 in words is "seven hundred twenty-eight thousand, one hundred fifty-seven".