72141835513225 has 9 divisors (see below), whose sum is σ = 89455928696967. Its totient is φ = 57713434436040.

The previous prime is 72141835513211. The next prime is 72141835513249. The reversal of 72141835513225 is 52231553814127.

The square root of 72141835513225 is 8493635.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25971060784761 + 46170774728464 = 5096181^2 + 6794908^2 .

It is not a de Polignac number, because 72141835513225 - 2¹⁵ = 72141835480457 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 (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41618812 + ... + 43317538.

Almost surely, 2^{72141835513225} is an apocalyptic number.

72141835513225 is the 8493635-th square number.

72141835513225 is the 4246818-th centered octagonal number.

It is an amenable number.

72141835513225 is a deficient number, since it is larger than the sum of its proper divisors (17314093183742).

72141835513225 is an frugal number, since it uses more digits than its factorization.

72141835513225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397464 (or 1698732 counting only the distinct ones).

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

The spelling of 72141835513225 in words is "seventy-two trillion, one hundred forty-one billion, eight hundred thirty-five million, five hundred thirteen thousand, two hundred twenty-five".