72726442880400 has 405 divisors, whose sum is σ = 255408492065961. Its totient is φ = 19163803760640.

The previous prime is 72726442880363. The next prime is 72726442880407. The reversal of 72726442880400 is 408824462727.

The square root of 72726442880400 is 8527980.

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

72726442880400 is a `hidden beast` number, since 72 + 72 + 6 + 4 + 4 + 28 + 80 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 72719893539216 + 6549341184 = 8527596^2 + 80928^2 .

It is not an unprimeable number, because it can be changed into a prime (72726442880407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 45539412402 + ... + 45539413998.

Almost surely, 2^{72726442880400} is an apocalyptic number.

72726442880400 is the 8527980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72726442880400

72726442880400 is an abundant number, since it is smaller than the sum of its proper divisors (182682049185561).

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

72726442880400 is an equidigital number, since it uses as much as digits as its factorization.

72726442880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 72726442880400 in words is "seventy-two trillion, seven hundred twenty-six billion, four hundred forty-two million, eight hundred eighty thousand, four hundred".