72828541553296 has 45 divisors (see below), whose sum is σ = 148924093619721. Its totient is φ = 34497422986752.

The previous prime is 72828541553219. The next prime is 72828541553297. The reversal of 72828541553296 is 69235514582827.

The square root of 72828541553296 is 8533964.

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

It can be written as a sum of positive squares in only one way, i.e., 72662599383696 + 165942169600 = 8524236^2 + 407360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72828541553297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 648525120 + ... + 648637408.

Almost surely, 2^{72828541553296} is an apocalyptic number.

72828541553296 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

72828541553296 is the 8533964-th square number.

It is an amenable number.

72828541553296 is an abundant number, since it is smaller than the sum of its proper divisors (76095552066425).

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

72828541553296 is an frugal number, since it uses more digits than its factorization.

72828541553296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224624 (or 112310 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 67.

The spelling of 72828541553296 in words is "seventy-two trillion, eight hundred twenty-eight billion, five hundred forty-one million, five hundred fifty-three thousand, two hundred ninety-six".