72259423488 has 810 divisors, whose sum is σ = 265871197746. Its totient is φ = 19459657728.

The previous prime is 72259423477. The next prime is 72259423501. The reversal of 72259423488 is 88432495227.

72259423488 is a `hidden beast` number, since 7 + 2 + 2 + 594 + 2 + 3 + 48 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71892624384 + 366799104 = 268128^2 + 19152^2 .

It is a super-2 number, since 2×72259423488² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 366799006 + ... + 366799202.

Almost surely, 2^72259423488 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 72259423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132935598873).

72259423488 is an abundant number, since it is smaller than the sum of its proper divisors (193611774258).

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

72259423488 is a wasteful number, since it uses less digits than its factorization.

72259423488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 228 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 72259423488 in words is "seventy-two billion, two hundred fifty-nine million, four hundred twenty-three thousand, four hundred eighty-eight".