72567653382225 has 81 divisors (see below), whose sum is σ = 130878002534097. Its totient is φ = 38436216480000.

The previous prime is 72567653382223. The next prime is 72567653382319. The reversal of 72567653382225 is 52228335676527.

The square root of 72567653382225 is 8518665.

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

72567653382225 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 76 + 5 + 338 + 2 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2759422644801 + 69808230737424 = 1661151^2 + 8355132^2 .

It is not a de Polignac number, because 72567653382225 - 2¹ = 72567653382223 is a prime.

Its product of digits (254016000) is a multiple of the sum of its prime divisors (3920).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72567653382223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19294774345 + ... + 19294778105.

Almost surely, 2^{72567653382225} is an apocalyptic number.

72567653382225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72567653382225 is the 8518665-th square number.

72567653382225 is the 4259333-rd centered octagonal number.

It is an amenable number.

72567653382225 is a deficient number, since it is larger than the sum of its proper divisors (58310349151872).

72567653382225 is an frugal number, since it uses more digits than its factorization.

72567653382225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 3920 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 63.

The spelling of 72567653382225 in words is "seventy-two trillion, five hundred sixty-seven billion, six hundred fifty-three million, three hundred eighty-two thousand, two hundred twenty-five".