747072205952 has 72 divisors (see below), whose sum is σ = 1499238498555. Its totient is φ = 370812702720.

The previous prime is 747072205949. The next prime is 747072205963. The reversal of 747072205952 is 259502270747.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 173635556416 + 573436649536 = 416696^2 + 757256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=611176.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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 747072205952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2356694498 + ... + 2356694814.

Almost surely, 2^747072205952 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 747072205952

747072205952 is an abundant number, since it is smaller than the sum of its proper divisors (752166292603).

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

747072205952 is an frugal number, since it uses more digits than its factorization.

747072205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 50.

Multiplying 747072205952 by its sum of digits (50), we get a square (37353610297600 = 6111760²).

The spelling of 747072205952 in words is "seven hundred forty-seven billion, seventy-two million, two hundred five thousand, nine hundred fifty-two".