6072005652736 has 81 divisors (see below), whose sum is σ = 12183023081439. Its totient is φ = 3020370296832.

The previous prime is 6072005652721. The next prime is 6072005652761. The reversal of 6072005652736 is 6372565002706.

The square root of 6072005652736 is 2464144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 172936212736 + 5899069440000 = 415856^2 + 2428800^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6072005652736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13286664220 + ... + 13286664676.

Almost surely, 2^{6072005652736} is an apocalyptic number.

6072005652736 is the 2464144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6072005652736

6072005652736 is an abundant number, since it is smaller than the sum of its proper divisors (6111017428703).

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

6072005652736 is an frugal number, since it uses more digits than its factorization.

6072005652736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 49.

Multiplying 6072005652736 by its sum of digits (49), we get a square (297528276984064 = 17249008²).

The spelling of 6072005652736 in words is "six trillion, seventy-two billion, five million, six hundred fifty-two thousand, seven hundred thirty-six".