72301832100 has 81 divisors (see below), whose sum is σ = 226651363393. Its totient is φ = 19278337440.

The previous prime is 72301832089. The next prime is 72301832101. The reversal of 72301832100 is 123810327.

The square root of 72301832100 is 268890.

It is a perfect power (a square), and thus also a powerful number.

72301832100 is a `hidden beast` number, since 72 + 301 + 83 + 210 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26028659556 + 46273172544 = 161334^2 + 215112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72301832101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8062219 + ... + 8071181.

Almost surely, 2^72301832100 is an apocalyptic number.

72301832100 is the 268890-th square number.

It is an amenable number.

72301832100 is an abundant number, since it is smaller than the sum of its proper divisors (154349531293).

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

72301832100 is an equidigital number, since it uses as much as digits as its factorization.

72301832100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

It can be divided in two parts, 72301 and 832100, that added together give a square (904401 = 951²).

The spelling of 72301832100 in words is "seventy-two billion, three hundred one million, eight hundred thirty-two thousand, one hundred".