71752034304 has 240 divisors, whose sum is σ = 218388430260. Its totient is φ = 23463198720.

The previous prime is 71752034293. The next prime is 71752034329. The reversal of 71752034304 is 40343025717.

71752034304 is a `hidden beast` number, since 7 + 17 + 5 + 203 + 430 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71584072704 + 167961600 = 267552^2 + 12960^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8787984 + ... + 8796144.

Almost surely, 2^71752034304 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 71752034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109194215130).

71752034304 is an abundant number, since it is smaller than the sum of its proper divisors (146636395956).

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

71752034304 is an equidigital number, since it uses as much as digits as its factorization.

71752034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 71752034304 in words is "seventy-one billion, seven hundred fifty-two million, thirty-four thousand, three hundred four".