72253254528 has 896 divisors, whose sum is σ = 271704760320. Its totient is φ = 18623582208.

The previous prime is 72253254517. The next prime is 72253254533. The reversal of 72253254528 is 82545235227.

72253254528 is a `hidden beast` number, since 7 + 22 + 53 + 2 + 54 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 568923201 + ... + 568923327.

It is an arithmetic number, because the mean of its divisors is an integer number (303241920).

Almost surely, 2^72253254528 is an apocalyptic number.

72253254528 is a gapful number since it is divisible by the number (78) 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 72253254528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135852380160).

72253254528 is an abundant number, since it is smaller than the sum of its proper divisors (199451505792).

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

72253254528 is a wasteful number, since it uses less digits than its factorization.

72253254528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The spelling of 72253254528 in words is "seventy-two billion, two hundred fifty-three million, two hundred fifty-four thousand, five hundred twenty-eight".