72548345104 has 75 divisors (see below), whose sum is σ = 149991191833. Its totient is φ = 33993872384.

The previous prime is 72548345099. The next prime is 72548345137. The reversal of 72548345104 is 40154384527.

The square root of 72548345104 is 269348.

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

It can be written as a sum of positive squares in 7 ways, for example, as 17439843600 + 55108501504 = 132060^2 + 234752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 311366172 + ... + 311366404.

Almost surely, 2^72548345104 is an apocalyptic number.

72548345104 is the 269348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72548345104

72548345104 is an abundant number, since it is smaller than the sum of its proper divisors (77442846729).

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

72548345104 is an frugal number, since it uses more digits than its factorization.

72548345104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 72548345104 in words is "seventy-two billion, five hundred forty-eight million, three hundred forty-five thousand, one hundred four".