6072505344 has 132 divisors (see below), whose sum is σ = 18139654260. Its totient is φ = 1954283520.

The previous prime is 6072505337. The next prime is 6072505357. The reversal of 6072505344 is 4435052706.

6072505344 is a `hidden beast` number, since 6 + 0 + 72 + 50 + 534 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2787840000 + 3284665344 = 52800^2 + 57312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6072505299 and 6072505308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255904 + ... + 278624.

Almost surely, 2^6072505344 is an apocalyptic number.

6072505344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6072505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069827130).

6072505344 is an abundant number, since it is smaller than the sum of its proper divisors (12067148916).

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

6072505344 is a wasteful number, since it uses less digits than its factorization.

6072505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22776 (or 22755 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 6072505344 is about 77926.2814716576. The cubic root of 6072505344 is about 1824.4108031318.

The spelling of 6072505344 in words is "six billion, seventy-two million, five hundred five thousand, three hundred forty-four".