73567965952 has 216 divisors, whose sum is σ = 172841948160. Its totient is φ = 31118929920.

The previous prime is 73567965941. The next prime is 73567965959. The reversal of 73567965952 is 25956976537.

It is a super-2 number, since 2×73567965952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (73567965959) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25481053 + ... + 25483939.

Almost surely, 2^73567965952 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 73567965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86420974080).

73567965952 is an abundant number, since it is smaller than the sum of its proper divisors (99273982208).

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

73567965952 is a wasteful number, since it uses less digits than its factorization.

73567965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2952 counting only the distinct ones).

The product of its digits is 107163000, while the sum is 64.

The spelling of 73567965952 in words is "seventy-three billion, five hundred sixty-seven million, nine hundred sixty-five thousand, nine hundred fifty-two".