73208124900 has 243 divisors, whose sum is σ = 238418911003. Its totient is φ = 18788380800.

The previous prime is 73208124841. The next prime is 73208124901. The reversal of 73208124900 is 942180237.

The square root of 73208124900 is 270570.

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

73208124900 is a `hidden beast` number, since 73 + 20 + 81 + 2 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1006285284 + 72201839616 = 31722^2 + 268704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73208124901) by changing a digit.

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, 235395745 + ... + 235396055.

Almost surely, 2^73208124900 is an apocalyptic number.

73208124900 is the 270570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73208124900

73208124900 is an abundant number, since it is smaller than the sum of its proper divisors (165210786103).

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

73208124900 is a wasteful number, since it uses less digits than its factorization.

73208124900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 73208124900 by its sum of digits (36), we get a square (2635492496400 = 1623420²).

73208124900 divided by its sum of digits (36) gives a square (2033559025 = 45095²).

The spelling of 73208124900 in words is "seventy-three billion, two hundred eight million, one hundred twenty-four thousand, nine hundred".