73796923200 has 672 divisors, whose sum is σ = 325099192320. Its totient is φ = 14153932800.

The previous prime is 73796923199. The next prime is 73796923219. The reversal of 73796923200 is 232969737.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73796923200.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4797121 + ... + 4812479.

It is an arithmetic number, because the mean of its divisors is an integer number (483778560).

Almost surely, 2^73796923200 is an apocalyptic number.

73796923200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73796923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162549596160).

73796923200 is an abundant number, since it is smaller than the sum of its proper divisors (251302269120).

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

73796923200 is a wasteful number, since it uses less digits than its factorization.

73796923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15415 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The spelling of 73796923200 in words is "seventy-three billion, seven hundred ninety-six million, nine hundred twenty-three thousand, two hundred".