73152440526400 has 189 divisors, whose sum is σ = 185029109259939. Its totient is φ = 28465212533760.

The previous prime is 73152440526379. The next prime is 73152440526443. The reversal of 73152440526400 is 462504425137.

The square root of 73152440526400 is 8552920.

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

73152440526400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6944405530176 + 66208034996224 = 2635224^2 + 8136832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12658318711 + ... + 12658324489.

Almost surely, 2^{73152440526400} is an apocalyptic number.

73152440526400 is the 8552920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73152440526400

73152440526400 is an abundant number, since it is smaller than the sum of its proper divisors (111876668733539).

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

73152440526400 is an frugal number, since it uses more digits than its factorization.

73152440526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11654 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 73152440526400 in words is "seventy-three trillion, one hundred fifty-two billion, four hundred forty million, five hundred twenty-six thousand, four hundred".