73617334252 has 96 divisors (see below), whose sum is σ = 164293194240. Its totient is φ = 28031761920.

The previous prime is 73617334177. The next prime is 73617334277. The reversal of 73617334252 is 25243371637.

It is a junction number, because it is equal to n+sod(n) for n = 73617334199 and 73617334208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3132048 + ... + 3155464.

It is an arithmetic number, because the mean of its divisors is an integer number (1711387440).

Almost surely, 2^73617334252 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 73617334252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82146597120).

73617334252 is an abundant number, since it is smaller than the sum of its proper divisors (90675859988).

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

73617334252 is a wasteful number, since it uses less digits than its factorization.

73617334252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23671 (or 23669 counting only the distinct ones).

The product of its digits is 635040, while the sum is 43.

The spelling of 73617334252 in words is "seventy-three billion, six hundred seventeen million, three hundred thirty-four thousand, two hundred fifty-two".