73076852160 has 560 divisors, whose sum is σ = 282164674176. Its totient is φ = 17845567488.

The previous prime is 73076852099. The next prime is 73076852179. The reversal of 73076852160 is 6125867037.

73076852160 is a `hidden beast` number, since 7 + 3 + 0 + 7 + 68 + 521 + 60 = 666.

It is a super-2 number, since 2×73076852160² (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 46162729 + ... + 46164311.

Almost surely, 2^73076852160 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 73076852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141082337088).

73076852160 is an abundant number, since it is smaller than the sum of its proper divisors (209087822016).

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

73076852160 is a wasteful number, since it uses less digits than its factorization.

73076852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 73076852160 in words is "seventy-three billion, seventy-six million, eight hundred fifty-two thousand, one hundred sixty".