73027943352 has 576 divisors, whose sum is σ = 254036090880. Its totient is φ = 18545200128.

The previous prime is 73027943311. The next prime is 73027943371. The reversal of 73027943352 is 25334972037.

73027943352 is a `hidden beast` number, since 7 + 302 + 7 + 9 + 4 + 335 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73027943298 and 73027943307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 465146058 + ... + 465146214.

It is an arithmetic number, because the mean of its divisors is an integer number (441034880).

Almost surely, 2^73027943352 is an apocalyptic number.

73027943352 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 73027943352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127018045440).

73027943352 is an abundant number, since it is smaller than the sum of its proper divisors (181008147528).

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

73027943352 is a wasteful number, since it uses less digits than its factorization.

73027943352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 73027943352 in words is "seventy-three billion, twenty-seven million, nine hundred forty-three thousand, three hundred fifty-two".