6365257272 has 192 divisors, whose sum is σ = 19147714560. Its totient is φ = 1910018880.

The previous prime is 6365257243. The next prime is 6365257289. The reversal of 6365257272 is 2727525636.

6365257272 is a `hidden beast` number, since 6 + 3 + 6 + 5 + 2 + 572 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12170403 + ... + 12170925.

It is an arithmetic number, because the mean of its divisors is an integer number (99727680).

Almost surely, 2^6365257272 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 6365257272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9573857280).

6365257272 is an abundant number, since it is smaller than the sum of its proper divisors (12782457288).

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

6365257272 is a wasteful number, since it uses less digits than its factorization.

6365257272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 666 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 6365257272 is about 79782.5624557146. The cubic root of 6365257272 is about 1853.2698220505.

It can be divided in two parts, 6365257 and 272, that added together give a square (6365529 = 2523²).

The spelling of 6365257272 in words is "six billion, three hundred sixty-five million, two hundred fifty-seven thousand, two hundred seventy-two".