157872 has 80 divisors (see below), whose sum is σ = 499968. Its totient is φ = 42240.

The previous prime is 157867. The next prime is 157877. The reversal of 157872 is 278751.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (157867) and next prime (157877).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157877) by changing a digit.

157872 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6853 + ... + 6875.

2¹⁵⁷⁸⁷² is an apocalyptic number.

157872 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 157872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

157872 is an abundant number, since it is smaller than the sum of its proper divisors (342096).

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

157872 is a wasteful number, since it uses less digits than its factorization.

157872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

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

The square root of 157872 is about 397.3310961906. The cubic root of 157872 is about 54.0465990079.

It can be divided in two parts, 15 and 7872, that added together give a palindrome (7887).

The spelling of 157872 in words is "one hundred fifty-seven thousand, eight hundred seventy-two".