73535997151200 has 144 divisors (see below), whose sum is σ = 239423207652720. Its totient is φ = 19604393963520.

The previous prime is 73535997151193. The next prime is 73535997151249. The reversal of 73535997151200 is 215179953537.

It is a super-2 number, since 2×73535997151200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4980862 + ... + 13110338.

It is an arithmetic number, because the mean of its divisors is an integer number (1662661164255).

Almost surely, 2^{73535997151200} 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 73535997151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119711603826360).

73535997151200 is an abundant number, since it is smaller than the sum of its proper divisors (165887210501520).

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

73535997151200 is a wasteful number, since it uses less digits than its factorization.

73535997151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133269 (or 8133256 counting only the distinct ones).

The product of its (nonzero) digits is 8930250, while the sum is 57.

The spelling of 73535997151200 in words is "seventy-three trillion, five hundred thirty-five billion, nine hundred ninety-seven million, one hundred fifty-one thousand, two hundred".