295372 has 36 divisors (see below), whose sum is σ = 660744. Its totient is φ = 114240.

The previous prime is 295363. The next prime is 295387. The reversal of 295372 is 273592.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2¹⁴ + 9 + 3 + 5² + 7⁵ + 2¹⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 295372.

It is an unprimeable 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, 2088 + ... + 2224.

It is an arithmetic number, because the mean of its divisors is an integer number (18354).

2²⁹⁵³⁷² is an apocalyptic number.

295372 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 295372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330372).

295372 is an abundant number, since it is smaller than the sum of its proper divisors (365372).

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

295372 is a wasteful number, since it uses less digits than its factorization.

295372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 295372 is about 543.4813704259. The cubic root of 295372 is about 66.5972722357.

It can be divided in two parts, 2953 and 72, that added together give a square (3025 = 55²).

The spelling of 295372 in words is "two hundred ninety-five thousand, three hundred seventy-two".