72111046225 has 27 divisors (see below), whose sum is σ = 91618892433. Its totient is φ = 56302122240.

The previous prime is 72111046201. The next prime is 72111046247. The reversal of 72111046225 is 52264011127.

The square root of 72111046225 is 268535.

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 3850078401 + 68260967824 = 62049^2 + 261268^2 .

It is not a de Polignac number, because 72111046225 - 2⁵ = 72111046193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 57734401 + ... + 57735649.

Almost surely, 2^72111046225 is an apocalyptic number.

72111046225 is the 268535-th square number.

72111046225 is the 134268-th centered octagonal number.

It is an amenable number.

72111046225 is a deficient number, since it is larger than the sum of its proper divisors (19507846208).

72111046225 is an frugal number, since it uses more digits than its factorization.

72111046225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 72111046225 in words is "seventy-two billion, one hundred eleven million, forty-six thousand, two hundred twenty-five".