72505225 has 27 divisors (see below), whose sum is σ = 98103189. Its totient is φ = 53133600.

The previous prime is 72505183. The next prime is 72505229. The reversal of 72505225 is 52250527.

72505225 = 1³ + 2³ + ... + 130³.

The square root of 72505225 is 8515.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18688329 + 53816896 = 4323^2 + 7336^2 .

It is not a de Polignac number, because 72505225 - 2¹¹ = 72503177 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72505193 and 72505202.

It is not an unprimeable number, because it can be changed into a prime (72505229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 553410 + ... + 553540.

Almost surely, 2^72505225 is an apocalyptic number.

72505225 is the 8515-th square number.

72505225 is the 4258-th centered octagonal number.

It is an amenable number.

72505225 is a deficient number, since it is larger than the sum of its proper divisors (25597964).

72505225 is a wasteful number, since it uses less digits than its factorization.

72505225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The cubic root of 72505225 is about 416.9875625763.

It can be divided in two parts, 7250522 and 5, that added together give a palindrome (7250527).

The spelling of 72505225 in words is "seventy-two million, five hundred five thousand, two hundred twenty-five".