72025216 has 32 divisors (see below), whose sum is σ = 144991980. Its totient is φ = 35635200.

The previous prime is 72025211. The next prime is 72025229. The reversal of 72025216 is 61252027.

It can be written as a sum of positive squares in 2 ways, for example, as 65674816 + 6350400 = 8104^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (72025211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9516 + ... + 15316.

Almost surely, 2^72025216 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 72025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72495990).

72025216 is an abundant number, since it is smaller than the sum of its proper divisors (72966764).

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

72025216 is an equidigital number, since it uses as much as digits as its factorization.

72025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 72025216 is about 8486.7671112150. The cubic root of 72025216 is about 416.0653250471.

The spelling of 72025216 in words is "seventy-two million, twenty-five thousand, two hundred sixteen".