72030508225 has 27 divisors (see below), whose sum is σ = 96740369883. Its totient is φ = 53178877440.

The previous prime is 72030508213. The next prime is 72030508237. The reversal of 72030508225 is 52280503027.

The square root of 72030508225 is 268385.

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

It is an interprime number because it is at equal distance from previous prime (72030508213) and next prime (72030508237).

It can be written as a sum of positive squares in 13 ways, for example, as 65486345409 + 6544162816 = 255903^2 + 80896^2 .

It is not a de Polignac number, because 72030508225 - 2³¹ = 69883024577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17442961 + ... + 17447089.

Almost surely, 2^72030508225 is an apocalyptic number.

72030508225 is the 268385-th square number.

72030508225 is the 134193-rd centered octagonal number.

It is an amenable number.

72030508225 is a deficient number, since it is larger than the sum of its proper divisors (24709861658).

72030508225 is an frugal number, since it uses more digits than its factorization.

72030508225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 72030508225 in words is "seventy-two billion, thirty million, five hundred eight thousand, two hundred twenty-five".