6552672 has 96 divisors (see below), whose sum is σ = 20160000. Its totient is φ = 1862784.

The previous prime is 6552671. The next prime is 6552673. The reversal of 6552672 is 2762556.

It is an interprime number because it is at equal distance from previous prime (6552671) and next prime (6552673).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552671) 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, 32829 + ... + 33027.

It is an arithmetic number, because the mean of its divisors is an integer number (210000).

Almost surely, 2^6552672 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 6552672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080000).

6552672 is an abundant number, since it is smaller than the sum of its proper divisors (13607328).

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

6552672 is a wasteful number, since it uses less digits than its factorization.

6552672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 6552672 is about 2559.8187435832. The cubic root of 6552672 is about 187.1283018584.

The spelling of 6552672 in words is "six million, five hundred fifty-two thousand, six hundred seventy-two".