73531121943552 has 2112 divisors, whose sum is σ = 262247496376320. Its totient is φ = 17819333296128.

The previous prime is 73531121943527. The next prime is 73531121943557. The reversal of 73531121943552 is 25534912113537.

Its product of digits (3402000) is a multiple of the sum of its prime factors (324).

It is a junction number, because it is equal to n+sod(n) for n = 73531121943495 and 73531121943504.

It is not an unprimeable number, because it can be changed into a prime (73531121943557) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 687206747083 + ... + 687206747189.

Almost surely, 2^{73531121943552} 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 73531121943552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131123748188160).

73531121943552 is an abundant number, since it is smaller than the sum of its proper divisors (188716374432768).

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

73531121943552 is a wasteful number, since it uses less digits than its factorization.

73531121943552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 277 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 51.

The spelling of 73531121943552 in words is "seventy-three trillion, five hundred thirty-one billion, one hundred twenty-one million, nine hundred forty-three thousand, five hundred fifty-two".