72589870080 has 792 divisors, whose sum is σ = 315220919832. Its totient is φ = 15309471744.

The previous prime is 72589870051. The next prime is 72589870081. The reversal of 72589870080 is 8007898527.

It can be written as a sum of positive squares in 4 ways, for example, as 4606608384 + 67983261696 = 67872^2 + 260736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72589869999 and 72589870026.

It is not an unprimeable number, because it can be changed into a prime (72589870081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29351724 + ... + 29354196.

Almost surely, 2^72589870080 is an apocalyptic number.

72589870080 is a gapful number since it is divisible by the number (70) 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 72589870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157610459916).

72589870080 is an abundant number, since it is smaller than the sum of its proper divisors (242631049752).

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

72589870080 is a wasteful number, since it uses less digits than its factorization.

72589870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 72589870080 in words is "seventy-two billion, five hundred eighty-nine million, eight hundred seventy thousand, eighty".