152292 has 48 divisors (see below), whose sum is σ = 425600. Its totient is φ = 42336.

The previous prime is 152287. The next prime is 152293. The reversal of 152292 is 292251.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4098 + ... + 4134.

2¹⁵²²⁹² is an apocalyptic number.

152292 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 152292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212800).

152292 is an abundant number, since it is smaller than the sum of its proper divisors (273308).

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

152292 is a wasteful number, since it uses less digits than its factorization.

152292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 49 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 152292 is about 390.2460762135. The cubic root of 152292 is about 53.4021853810.

It can be divided in two parts, 152 and 292, that added together give a palindrome (444).

The spelling of 152292 in words is "one hundred fifty-two thousand, two hundred ninety-two".