157717872 has 120 divisors (see below), whose sum is σ = 479073504. Its totient is φ = 48148992.

The previous prime is 157717867. The next prime is 157717927. The reversal of 157717872 is 278717751.

It is a happy number.

157717872 is a `hidden beast` number, since 1 + 577 + 1 + 7 + 8 + 72 = 666.

It is a zygodrome in base 12.

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 23 ways as a sum of consecutive naturals, for example, 323613 + ... + 324099.

Almost surely, 2^157717872 is an apocalyptic number.

157717872 is a gapful number since it is divisible by the number (12) 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 157717872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239536752).

157717872 is an abundant number, since it is smaller than the sum of its proper divisors (321355632).

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

157717872 is a wasteful number, since it uses less digits than its factorization.

157717872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 678 counting only the distinct ones).

The product of its digits is 192080, while the sum is 45.

The square root of 157717872 is about 12558.5776264671. The cubic root of 157717872 is about 540.2900499390.

The spelling of 157717872 in words is "one hundred fifty-seven million, seven hundred seventeen thousand, eight hundred seventy-two".