72305032 has 16 divisors (see below), whose sum is σ = 142707600. Its totient is φ = 34249680.

The previous prime is 72305027. The next prime is 72305039. The reversal of 72305032 is 23050327.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 72304994 and 72305012.

It is not an unprimeable number, because it can be changed into a prime (72305039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237694 + ... + 237997.

It is an arithmetic number, because the mean of its divisors is an integer number (8919225).

Almost surely, 2^72305032 is an apocalyptic number.

It is an amenable number.

72305032 is a deficient number, since it is larger than the sum of its proper divisors (70402568).

72305032 is a wasteful number, since it uses less digits than its factorization.

72305032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475716 (or 475712 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 72305032 is about 8503.2365602752. The cubic root of 72305032 is about 416.6034296208.

Adding to 72305032 its reverse (23050327), we get a palindrome (95355359).

The spelling of 72305032 in words is "seventy-two million, three hundred five thousand, thirty-two".