72580225 has 12 divisors (see below), whose sum is σ = 95294124. Its totient is φ = 54648320.

The previous prime is 72580213. The next prime is 72580279. The reversal of 72580225 is 52208527.

It can be written as a sum of positive squares in 6 ways, for example, as 2556801 + 70023424 = 1599^2 + 8368^2 .

It is not a de Polignac number, because 72580225 - 2⁹ = 72579713 is a prime.

It is a super-2 number, since 2×72580225² = 10535778122101250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84964 + ... + 85813.

It is an arithmetic number, because the mean of its divisors is an integer number (7941177).

Almost surely, 2^72580225 is an apocalyptic number.

It is an amenable number.

72580225 is a deficient number, since it is larger than the sum of its proper divisors (22713899).

72580225 is a wasteful number, since it uses less digits than its factorization.

72580225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170804 (or 170799 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 72580225 is about 8519.4028546606. The cubic root of 72580225 is about 417.1312914823.

The spelling of 72580225 in words is "seventy-two million, five hundred eighty thousand, two hundred twenty-five".