72694944400 has 405 divisors, whose sum is σ = 204243946803. Its totient is φ = 24848179200.

The previous prime is 72694944389. The next prime is 72694944419. The reversal of 72694944400 is 444949627.

The square root of 72694944400 is 269620.

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

It can be written as a sum of positive squares in 40 ways, for example, as 32303591824 + 40391352576 = 179732^2 + 200976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1191720370 + ... + 1191720430.

Almost surely, 2^72694944400 is an apocalyptic number.

72694944400 is the 269620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72694944400

72694944400 is an abundant number, since it is smaller than the sum of its proper divisors (131549002403).

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

72694944400 is a wasteful number, since it uses less digits than its factorization.

72694944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 72694944400 by its sum of digits (49), we get a square (3562052275600 = 1887340²).

The spelling of 72694944400 in words is "seventy-two billion, six hundred ninety-four million, nine hundred forty-four thousand, four hundred".