72420508480576 has 63 divisors (see below), whose sum is σ = 151673897796759. Its totient is φ = 34303838663808.

The previous prime is 72420508480559. The next prime is 72420508480577. The reversal of 72420508480576 is 67508480502427.

The square root of 72420508480576 is 8510024.

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

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 72420508480576.

It is not an unprimeable number, because it can be changed into a prime (72420508480577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1293495655 + ... + 1293551641.

Almost surely, 2^{72420508480576} is an apocalyptic number.

72420508480576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

72420508480576 is the 8510024-th square number.

It is an amenable number.

72420508480576 is an abundant number, since it is smaller than the sum of its proper divisors (79253389316183).

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

72420508480576 is an frugal number, since it uses more digits than its factorization.

72420508480576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112024 (or 56008 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 58.

The spelling of 72420508480576 in words is "seventy-two trillion, four hundred twenty billion, five hundred eight million, four hundred eighty thousand, five hundred seventy-six".