72154018225 has 27 divisors (see below), whose sum is σ = 92503623009. Its totient is φ = 55828941600.

The previous prime is 72154018207. The next prime is 72154018229. The reversal of 72154018225 is 52281045127.

It is a happy number.

The square root of 72154018225 is 268615.

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 2787100849 + 69366917376 = 52793^2 + 263376^2 .

It is not a de Polignac number, because 72154018225 - 2⁵ = 72154018193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72154018229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41634459 + ... + 41636191.

Almost surely, 2^72154018225 is an apocalyptic number.

72154018225 is the 268615-th square number.

72154018225 is the 134308-th centered octagonal number.

It is an amenable number.

72154018225 is a deficient number, since it is larger than the sum of its proper divisors (20349604784).

72154018225 is an frugal number, since it uses more digits than its factorization.

72154018225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 72154018225 in words is "seventy-two billion, one hundred fifty-four million, eighteen thousand, two hundred twenty-five".