6658272 has 72 divisors (see below), whose sum is σ = 19295640. Its totient is φ = 2177280.

The previous prime is 6658243. The next prime is 6658279. The reversal of 6658272 is 2728566.

6658272 is a `hidden beast` number, since 6 + 6 + 582 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6658279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17379 + ... + 17757.

It is an arithmetic number, because the mean of its divisors is an integer number (267995).

Almost surely, 2^6658272 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 6658272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647820).

6658272 is an abundant number, since it is smaller than the sum of its proper divisors (12637368).

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

6658272 is a wasteful number, since it uses less digits than its factorization.

6658272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6658272 is about 2580.3627651941. The cubic root of 6658272 is about 188.1281757575.

The spelling of 6658272 in words is "six million, six hundred fifty-eight thousand, two hundred seventy-two".