62288 has 20 divisors (see below), whose sum is σ = 128340. Its totient is φ = 29184.

The previous prime is 62273. The next prime is 62297. The reversal of 62288 is 88226.

62288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 8464 = 232^2 + 92^2 .

It is a congruent number.

It is an unprimeable number.

62288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (6417).

2⁶²²⁸⁸ is an apocalyptic number.

62288 is a gapful number since it is divisible by the number (68) 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 62288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64170).

62288 is an abundant number, since it is smaller than the sum of its proper divisors (66052).

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

62288 is a wasteful number, since it uses less digits than its factorization.

62288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 62288 is about 249.5756398369. The cubic root of 62288 is about 39.6401049334.

The spelling of 62288 in words is "sixty-two thousand, two hundred eighty-eight".