6388272 has 120 divisors (see below), whose sum is σ = 20214480. Its totient is φ = 1866240.

The previous prime is 6388271. The next prime is 6388289. The reversal of 6388272 is 2728836.

It is a happy number.

6388272 is a `hidden beast` number, since 6 + 388 + 272 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (6388271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58554 + ... + 58662.

It is an arithmetic number, because the mean of its divisors is an integer number (168454).

Almost surely, 2^6388272 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 6388272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10107240).

6388272 is an abundant number, since it is smaller than the sum of its proper divisors (13826208).

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

6388272 is a wasteful number, since it uses less digits than its factorization.

6388272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6388272 is about 2527.5031157251. The cubic root of 6388272 is about 185.5500745124.

The spelling of 6388272 in words is "six million, three hundred eighty-eight thousand, two hundred seventy-two".