6481272 has 64 divisors (see below), whose sum is σ = 18708480. Its totient is φ = 1832832.

The previous prime is 6481259. The next prime is 6481273. The reversal of 6481272 is 2721846.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6481273) 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, 28953 + ... + 29175.

It is an arithmetic number, because the mean of its divisors is an integer number (292320).

Almost surely, 2^6481272 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 6481272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354240).

6481272 is an abundant number, since it is smaller than the sum of its proper divisors (12227208).

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

6481272 is a wasteful number, since it uses less digits than its factorization.

6481272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 6481272 is about 2545.8342444079. The cubic root of 6481272 is about 186.4461483238.

The spelling of 6481272 in words is "six million, four hundred eighty-one thousand, two hundred seventy-two".