72506059472401 has 9 divisors (see below), whose sum is σ = 74920685926953. Its totient is φ = 70166898876660.

The previous prime is 72506059472383. The next prime is 72506059472411. The reversal of 72506059472401 is 10427495060527.

The square root of 72506059472401 is 8515049.

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

It is not a de Polignac number, because 72506059472401 - 2⁵ = 72506059472369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72506059472411) by changing a digit.

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, 263829180 + ... + 264103858.

Almost surely, 2^{72506059472401} is an apocalyptic number.

72506059472401 is the 8515049-th square number.

72506059472401 is the 4257525-th centered octagonal number.

It is an amenable number.

72506059472401 is a deficient number, since it is larger than the sum of its proper divisors (2414626454552).

72506059472401 is an frugal number, since it uses more digits than its factorization.

72506059472401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549420 (or 274710 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 72506059472401 in words is "seventy-two trillion, five hundred six billion, fifty-nine million, four hundred seventy-two thousand, four hundred one".