72281691474496 has 189 divisors, whose sum is σ = 168095125066761. Its totient is φ = 30748725536256.

The previous prime is 72281691474389. The next prime is 72281691474521. The reversal of 72281691474496 is 69447419618227.

The square root of 72281691474496 is 8501864.

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., 21186872526400 + 51094818948096 = 4602920^2 + 7148064^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 74748387805 + ... + 74748388771.

Almost surely, 2^{72281691474496} is an apocalyptic number.

72281691474496 is the 8501864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72281691474496

72281691474496 is an abundant number, since it is smaller than the sum of its proper divisors (95813433592265).

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

72281691474496 is an frugal number, since it uses more digits than its factorization.

72281691474496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 1133 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 70.

The spelling of 72281691474496 in words is "seventy-two trillion, two hundred eighty-one billion, six hundred ninety-one million, four hundred seventy-four thousand, four hundred ninety-six".