73075699200 has 720 divisors, whose sum is σ = 285289133184. Its totient is φ = 16437657600.

The previous prime is 73075699187. The next prime is 73075699211. The reversal of 73075699200 is 299657037.

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 73075699200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133593327 + ... + 133593873.

Almost surely, 2^73075699200 is an apocalyptic number.

73075699200 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 73075699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142644566592).

73075699200 is an abundant number, since it is smaller than the sum of its proper divisors (212213433984).

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

73075699200 is a wasteful number, since it uses less digits than its factorization.

73075699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The spelling of 73075699200 in words is "seventy-three billion, seventy-five million, six hundred ninety-nine thousand, two hundred".