72206080128 has 1080 divisors, whose sum is σ = 280330047855. Its totient is φ = 18386694144.

The previous prime is 72206080127. The next prime is 72206080169. The reversal of 72206080128 is 82108060227.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

72206080128 is a `hidden beast` number, since 7 + 2 + 20 + 608 + 0 + 1 + 28 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 11961359424 + 60244720704 = 109368^2 + 245448^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190008.

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 = 72206080092 and 72206080101.

It is not an unprimeable number, because it can be changed into a prime (72206080127) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2489864818 + ... + 2489864846.

Almost surely, 2^72206080128 is an apocalyptic number.

72206080128 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 72206080128

72206080128 is an abundant number, since it is smaller than the sum of its proper divisors (208123967727).

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

72206080128 is a wasteful number, since it uses less digits than its factorization.

72206080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 72206080128 in words is "seventy-two billion, two hundred six million, eighty thousand, one hundred twenty-eight".