72205056 has 324 divisors, whose sum is σ = 268589776. Its totient is φ = 18247680.

The previous prime is 72205051. The next prime is 72205057. The reversal of 72205056 is 65050227.

72205056 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×72205056² = 10427140223926272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72205051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1951470 + ... + 1951506.

Almost surely, 2^72205056 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 72205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134294888).

72205056 is an abundant number, since it is smaller than the sum of its proper divisors (196384720).

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

72205056 is a wasteful number, since it uses less digits than its factorization.

72205056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72205056 is about 8497.3558240196. The cubic root of 72205056 is about 416.4113288560.

The spelling of 72205056 in words is "seventy-two million, two hundred five thousand, fifty-six".