72465948025 has 27 divisors (see below), whose sum is σ = 95484603469. Its totient is φ = 54545367680.

The previous prime is 72465948011. The next prime is 72465948029. The reversal of 72465948025 is 52084956427.

It is a happy number.

The square root of 72465948025 is 269195.

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 1695051241 + 70770896784 = 41171^2 + 266028^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72465948025 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72465948029) 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, 22879992 + ... + 22883158.

Almost surely, 2^72465948025 is an apocalyptic number.

72465948025 is the 269195-th square number.

72465948025 is the 134598-th centered octagonal number.

It is an amenable number.

72465948025 is a deficient number, since it is larger than the sum of its proper divisors (23018655444).

72465948025 is an frugal number, since it uses more digits than its factorization.

72465948025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 72465948025 in words is "seventy-two billion, four hundred sixty-five million, nine hundred forty-eight thousand, twenty-five".