157728000 has 288 divisors, whose sum is σ = 550996992. Its totient is φ = 39936000.

The previous prime is 157727959. The next prime is 157728007. The reversal of 157728000 is 827751.

It is a happy number.

157728000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157728007) 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, 2975974 + ... + 2976026.

It is an arithmetic number, because the mean of its divisors is an integer number (1913184).

Almost surely, 2^157728000 is an apocalyptic number.

157728000 is a gapful number since it is divisible by the number (10) 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 157728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275498496).

157728000 is an abundant number, since it is smaller than the sum of its proper divisors (393268992).

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

157728000 is an equidigital number, since it uses as much as digits as its factorization.

157728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

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

The square root of 157728000 is about 12558.9808503716. The cubic root of 157728000 is about 540.3016147677.

The spelling of 157728000 in words is "one hundred fifty-seven million, seven hundred twenty-eight thousand".