72498255025 has 63 divisors (see below), whose sum is σ = 105552966369. Its totient is φ = 49396445280.

The previous prime is 72498255023. The next prime is 72498255061. The reversal of 72498255025 is 52055289427.

The square root of 72498255025 is 269255.

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 8768262321 + 63729992704 = 93639^2 + 252448^2 .

It is not a de Polignac number, because 72498255025 - 2¹ = 72498255023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72498255025.

It is not an unprimeable number, because it can be changed into a prime (72498255023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 461772247 + ... + 461772403.

Almost surely, 2^72498255025 is an apocalyptic number.

72498255025 is the 269255-th square number.

72498255025 is the 134628-th centered octagonal number.

It is an amenable number.

72498255025 is a deficient number, since it is larger than the sum of its proper divisors (33054711344).

72498255025 is an frugal number, since it uses more digits than its factorization.

72498255025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

Multiplying 72498255025 by its sum of digits (49), we get a square (3552414496225 = 1884785²).

72498255025 divided by its sum of digits (49) gives a square (1479556225 = 38465²).

The spelling of 72498255025 in words is "seventy-two billion, four hundred ninety-eight million, two hundred fifty-five thousand, twenty-five".