152724 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 42240.

The previous prime is 152723. The next prime is 152729. The reversal of 152724 is 427251.

It is a self number, because there is not a number n which added to its sum of digits gives 152724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152723) by changing a digit.

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, 1672 + ... + 1760.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁵²⁷²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

152724 is an abundant number, since it is smaller than the sum of its proper divisors (270636).

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

152724 is a wasteful number, since it uses less digits than its factorization.

152724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 152724 is about 390.7991811660. The cubic root of 152724 is about 53.4526322522.

Adding to 152724 its reverse (427251), we get a palindrome (579975).

It can be divided in two parts, 1527 and 24, that added together give a palindrome (1551).

The spelling of 152724 in words is "one hundred fifty-two thousand, seven hundred twenty-four".