72645342784 has 63 divisors (see below), whose sum is σ = 167726059137. Its totient is φ = 31127249664.

The previous prime is 72645342773. The next prime is 72645342793. The reversal of 72645342784 is 48724354627.

The square root of 72645342784 is 269528.

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., 54400897600 + 18244445184 = 233240^2 + 135072^2 .

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, 15091162 + ... + 15095974.

It is an arithmetic number, because the mean of its divisors is an integer number (2662318399).

Almost surely, 2^72645342784 is an apocalyptic number.

72645342784 is the 269528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72645342784

72645342784 is an abundant number, since it is smaller than the sum of its proper divisors (95080716353).

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

72645342784 is an frugal number, since it uses more digits than its factorization.

72645342784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652 (or 4822 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 52.

The spelling of 72645342784 in words is "seventy-two billion, six hundred forty-five million, three hundred forty-two thousand, seven hundred eighty-four".