157872000 has 512 divisors, whose sum is σ = 641571840. Its totient is φ = 33792000.

The previous prime is 157871999. The next prime is 157872037. The reversal of 157872000 is 278751.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6863989 + ... + 6864011.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^157872000 is an apocalyptic number.

157872000 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 157872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

157872000 is an abundant number, since it is smaller than the sum of its proper divisors (483699840).

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

157872000 is a wasteful number, since it uses less digits than its factorization.

157872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

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

The square root of 157872000 is about 12564.7124917365. The cubic root of 157872000 is about 540.4659900790.

The spelling of 157872000 in words is "one hundred fifty-seven million, eight hundred seventy-two thousand".