73028106919872 has 2240 divisors, whose sum is σ = 256367280390144. Its totient is φ = 20384357253120.

The previous prime is 73028106919819. The next prime is 73028106919883. The reversal of 73028106919872 is 27891960182037.

73028106919872 is a `hidden beast` number, since 7 + 302 + 8 + 10 + 69 + 198 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 422127785578 + ... + 422127785750.

Almost surely, 2^{73028106919872} is an apocalyptic number.

73028106919872 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 73028106919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128183640195072).

73028106919872 is an abundant number, since it is smaller than the sum of its proper divisors (183339173470272).

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

73028106919872 is a wasteful number, since it uses less digits than its factorization.

73028106919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 73028106919872 in words is "seventy-three trillion, twenty-eight billion, one hundred six million, nine hundred nineteen thousand, eight hundred seventy-two".