75068072820 has 216 divisors, whose sum is σ = 246967320600. Its totient is φ = 18448515072.

The previous prime is 75068072797. The next prime is 75068072831. The reversal of 75068072820 is 2827086057.

It can be written as a sum of positive squares in 12 ways, for example, as 44387747856 + 30680324964 = 210684^2 + 175158^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23391376 + ... + 23394584.

It is an arithmetic number, because the mean of its divisors is an integer number (1143367225).

Almost surely, 2^75068072820 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 75068072820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123483660300).

75068072820 is an abundant number, since it is smaller than the sum of its proper divisors (171899247780).

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

75068072820 is a wasteful number, since it uses less digits than its factorization.

75068072820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 75068072820 in words is "seventy-five billion, sixty-eight million, seventy-two thousand, eight hundred twenty".