72578728069225 has 243 divisors, whose sum is σ = 115711746296517. Its totient is φ = 45017968786560.

The previous prime is 72578728069213. The next prime is 72578728069231. The reversal of 72578728069225 is 52296082787527.

The square root of 72578728069225 is 8519315.

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 24953491650409 + 47625236418816 = 4995347^2 + 6901104^2 .

It is not a de Polignac number, because 72578728069225 - 2⁵ = 72578728069193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 130302922647 + ... + 130302923203.

Almost surely, 2^{72578728069225} is an apocalyptic number.

72578728069225 is the 8519315-th square number.

72578728069225 is the 4259658-th centered octagonal number.

It is an amenable number.

72578728069225 is a deficient number, since it is larger than the sum of its proper divisors (43133018227292).

72578728069225 is an equidigital number, since it uses as much as digits as its factorization.

72578728069225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 70.

The spelling of 72578728069225 in words is "seventy-two trillion, five hundred seventy-eight billion, seven hundred twenty-eight million, sixty-nine thousand, two hundred twenty-five".