72053729358 has 64 divisors (see below), whose sum is σ = 158531520000. Its totient is φ = 21697061760.

The previous prime is 72053729357. The next prime is 72053729369. The reversal of 72053729358 is 85392735027.

It is a happy number.

It is a super-2 number, since 2×72053729358² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72053729358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72053729357) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 908793 + ... + 984891.

It is an arithmetic number, because the mean of its divisors is an integer number (2477055000).

Almost surely, 2^72053729358 is an apocalyptic number.

72053729358 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72053729358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79265760000).

72053729358 is an abundant number, since it is smaller than the sum of its proper divisors (86477790642).

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

72053729358 is a wasteful number, since it uses less digits than its factorization.

72053729358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76377.

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 72053729358 in words is "seventy-two billion, fifty-three million, seven hundred twenty-nine thousand, three hundred fifty-eight".