73972872000 has 224 divisors, whose sum is σ = 271399040640. Its totient is φ = 19726041600.

The previous prime is 73972871983. The next prime is 73972872073. The reversal of 73972872000 is 27827937.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 44767 + ... + 387233.

It is an arithmetic number, because the mean of its divisors is an integer number (1211602860).

Almost surely, 2^73972872000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73972872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135699520320).

73972872000 is an abundant number, since it is smaller than the sum of its proper divisors (197426168640).

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

73972872000 is a wasteful number, since it uses less digits than its factorization.

73972872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342503 (or 342477 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 73972872000 in words is "seventy-three billion, nine hundred seventy-two million, eight hundred seventy-two thousand".