72700130880 has 280 divisors, whose sum is σ = 278501304312. Its totient is φ = 17895333888.

The previous prime is 72700130869. The next prime is 72700130897. The reversal of 72700130880 is 8803100727.

72700130880 is a `hidden beast` number, since 7 + 270 + 0 + 1 + 308 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5813757504 + 66886373376 = 76248^2 + 258624^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 229084 + ... + 444836.

Almost surely, 2^72700130880 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 72700130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139250652156).

72700130880 is an abundant number, since it is smaller than the sum of its proper divisors (205801173432).

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

72700130880 is a wasteful number, since it uses less digits than its factorization.

72700130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215795 (or 215776 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 72700130880 in words is "seventy-two billion, seven hundred million, one hundred thirty thousand, eight hundred eighty".