295152 has 80 divisors (see below), whose sum is σ = 916608. Its totient is φ = 80640.

The previous prime is 295129. The next prime is 295153. The reversal of 295152 is 251592.

It is a super-2 number, since 2×295152² = 174229406208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 295152.

It is not an unprimeable number, because it can be changed into a prime (295153) 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, 6843 + ... + 6885.

2²⁹⁵¹⁵² is an apocalyptic number.

295152 is a gapful number since it is divisible by the number (22) 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 295152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458304).

295152 is an abundant number, since it is smaller than the sum of its proper divisors (621456).

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

295152 is a wasteful number, since it uses less digits than its factorization.

295152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 295152 is about 543.2789338820. The cubic root of 295152 is about 66.5807337250.

It can be divided in two parts, 2951 and 52, that added together give a palindrome (3003).

The spelling of 295152 in words is "two hundred ninety-five thousand, one hundred fifty-two".