72353056 has 48 divisors (see below), whose sum is σ = 149184504. Its totient is φ = 34504704.

The previous prime is 72353051. The next prime is 72353063. The reversal of 72353056 is 65035327.

It can be written as a sum of positive squares in 4 ways, for example, as 71571600 + 781456 = 8460^2 + 884^2 .

It is not an unprimeable number, because it can be changed into a prime (72353051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62176 + ... + 63328.

Almost surely, 2^72353056 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 72353056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74592252).

72353056 is an abundant number, since it is smaller than the sum of its proper divisors (76831448).

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

72353056 is a wasteful number, since it uses less digits than its factorization.

72353056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 72353056 is about 8506.0599574656. The cubic root of 72353056 is about 416.6956432826.

The spelling of 72353056 in words is "seventy-two million, three hundred fifty-three thousand, fifty-six".