73318904352 has 192 divisors, whose sum is σ = 215750304000. Its totient is φ = 24223186944.

The previous prime is 73318904303. The next prime is 73318904353. The reversal of 73318904352 is 25340981337.

73318904352 is a `hidden beast` number, since 7 + 33 + 189 + 0 + 435 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73318904298 and 73318904307.

It is not an unprimeable number, because it can be changed into a prime (73318904353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52035424 + ... + 52036832.

It is an arithmetic number, because the mean of its divisors is an integer number (1123699500).

Almost surely, 2^73318904352 is an apocalyptic number.

73318904352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73318904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107875152000).

73318904352 is an abundant number, since it is smaller than the sum of its proper divisors (142431399648).

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

73318904352 is a wasteful number, since it uses less digits than its factorization.

73318904352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 73318904352 in words is "seventy-three billion, three hundred eighteen million, nine hundred four thousand, three hundred fifty-two".