72053583210 has 240 divisors, whose sum is σ = 229634842536. Its totient is φ = 16158175488.

The previous prime is 72053583163. The next prime is 72053583227. The reversal of 72053583210 is 1238535027.

It is a happy number.

72053583210 is a `hidden beast` number, since 7 + 2 + 0 + 53 + 583 + 21 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54600266889 + 17453316321 = 233667^2 + 132111^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2086444 + ... + 2120696.

Almost surely, 2^72053583210 is an apocalyptic number.

72053583210 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72053583210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114817421268).

72053583210 is an abundant number, since it is smaller than the sum of its proper divisors (157581259326).

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

72053583210 is a wasteful number, since it uses less digits than its factorization.

72053583210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34339 (or 34323 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 72053583210 in words is "seventy-two billion, fifty-three million, five hundred eighty-three thousand, two hundred ten".