72257771552 has 162 divisors, whose sum is σ = 156454170327. Its totient is φ = 32845132800.

The previous prime is 72257771539. The next prime is 72257771569. The reversal of 72257771552 is 25517775227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 10079356816 + 62178414736 = 100396^2 + 249356^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190076.

It is a super-2 number, since 2×72257771552² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72257771552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1184553602 + ... + 1184553662.

Almost surely, 2^72257771552 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 72257771552

72257771552 is an abundant number, since it is smaller than the sum of its proper divisors (84196398775).

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

72257771552 is an equidigital number, since it uses as much as digits as its factorization.

72257771552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 123 counting only the distinct ones).

The product of its digits is 2401000, while the sum is 50.

Multiplying 72257771552 by its sum of digits (50), we get a square (3612888577600 = 1900760²).

It can be divided in two parts, 7225 and 7771552, that added together give a palindrome (7778777).

The spelling of 72257771552 in words is "seventy-two billion, two hundred fifty-seven million, seven hundred seventy-one thousand, five hundred fifty-two".