157752 has 48 divisors (see below), whose sum is σ = 489840. Its totient is φ = 44928.

The previous prime is 157747. The next prime is 157769. The reversal of 157752 is 257751.

157752 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

157752 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 11 ways as a sum of consecutive naturals, for example, 348 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (10205).

157752 is a Friedman number, since it can be written as (751+5^7)*2, using all its digits and the basic arithmetic operations.

2¹⁵⁷⁷⁵² is an apocalyptic number.

157752 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 157752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244920).

157752 is an abundant number, since it is smaller than the sum of its proper divisors (332088).

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

157752 is a wasteful number, since it uses less digits than its factorization.

157752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its digits is 2450, while the sum is 27.

The square root of 157752 is about 397.1800599224. The cubic root of 157752 is about 54.0329017599.

Subtracting 157752 from its reverse (257751), we obtain a palindrome (99999).

It can be divided in two parts, 157 and 752, that added together give a palindrome (909).

The spelling of 157752 in words is "one hundred fifty-seven thousand, seven hundred fifty-two".