72283825152 has 528 divisors, whose sum is σ = 267349859712. Its totient is φ = 18260951040.

The previous prime is 72283825139. The next prime is 72283825153. The reversal of 72283825152 is 25152838227.

72283825152 is a `hidden beast` number, since 72 + 283 + 8 + 251 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 72283825098 and 72283825107.

It is not an unprimeable number, because it can be changed into a prime (72283825153) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26255008 + ... + 26257760.

Almost surely, 2^72283825152 is an apocalyptic number.

72283825152 is a gapful number since it is divisible by the number (72) 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 72283825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133674929856).

72283825152 is an abundant number, since it is smaller than the sum of its proper divisors (195066034560).

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

72283825152 is a wasteful number, since it uses less digits than its factorization.

72283825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2813 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 72283825152 in words is "seventy-two billion, two hundred eighty-three million, eight hundred twenty-five thousand, one hundred fifty-two".