72059258880 has 1008 divisors, whose sum is σ = 303085642860. Its totient is φ = 16387080192.

The previous prime is 72059258839. The next prime is 72059258881. The reversal of 72059258880 is 8885295027.

72059258880 is a `hidden beast` number, since 7 + 2 + 0 + 59 + 2 + 588 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67633284096 + 4425974784 = 260064^2 + 66528^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72059258881) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 365782942 + ... + 365783138.

Almost surely, 2^72059258880 is an apocalyptic number.

72059258880 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 72059258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151542821430).

72059258880 is an abundant number, since it is smaller than the sum of its proper divisors (231026383980).

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

72059258880 is an equidigital number, since it uses as much as digits as its factorization.

72059258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 72059258880 in words is "seventy-two billion, fifty-nine million, two hundred fifty-eight thousand, eight hundred eighty".