73332041328 has 360 divisors, whose sum is σ = 257789750400. Its totient is φ = 19288378368.

The previous prime is 73332041327. The next prime is 73332041333. The reversal of 73332041328 is 82314023337.

73332041328 is a `hidden beast` number, since 7 + 3 + 3 + 320 + 4 + 1 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73332041292 and 73332041301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73332041327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43936878 + ... + 43938546.

It is an arithmetic number, because the mean of its divisors is an integer number (716082640).

Almost surely, 2^73332041328 is an apocalyptic number.

73332041328 is a gapful number since it is divisible by the number (78) 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 73332041328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128894875200).

73332041328 is an abundant number, since it is smaller than the sum of its proper divisors (184457709072).

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

73332041328 is a wasteful number, since it uses less digits than its factorization.

73332041328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 73332041328 in words is "seventy-three billion, three hundred thirty-two million, forty-one thousand, three hundred twenty-eight".