73267085520 has 960 divisors, whose sum is σ = 284291804160. Its totient is φ = 17459380224.

The previous prime is 73267085513. The next prime is 73267085539. The reversal of 73267085520 is 2558076237.

73267085520 is a `hidden beast` number, since 7 + 3 + 26 + 70 + 8 + 552 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 823225636 + ... + 823225724.

It is an arithmetic number, because the mean of its divisors is an integer number (296137296).

Almost surely, 2^73267085520 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 73267085520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142145902080).

73267085520 is an abundant number, since it is smaller than the sum of its proper divisors (211024718640).

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

73267085520 is a wasteful number, since it uses less digits than its factorization.

73267085520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 73267085520 in words is "seventy-three billion, two hundred sixty-seven million, eighty-five thousand, five hundred twenty".