72303528 has 64 divisors (see below), whose sum is σ = 199180800. Its totient is φ = 21689280.

The previous prime is 72303523. The next prime is 72303529. The reversal of 72303528 is 82530327.

It is a super-2 number, since 2×72303528² = 10455600322493568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72303495 and 72303504.

It is not an unprimeable number, because it can be changed into a prime (72303521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25863 + ... + 28521.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^72303528 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 72303528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400).

72303528 is an abundant number, since it is smaller than the sum of its proper divisors (126877272).

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

72303528 is a wasteful number, since it uses less digits than its factorization.

72303528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 72303528 is about 8503.1481229013. The cubic root of 72303528 is about 416.6005410441.

The spelling of 72303528 in words is "seventy-two million, three hundred three thousand, five hundred twenty-eight".