72526258222101 has 24 divisors (see below), whose sum is σ = 112066043655384. Its totient is φ = 45037530869760.

The previous prime is 72526258222027. The next prime is 72526258222199. The reversal of 72526258222101 is 10122285262527.

72526258222101 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 62 + 582 + 2 + 2 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30102790533201 + 42423467688900 = 5486601^2 + 6513330^2 .

It is not a de Polignac number, because 72526258222101 - 2¹⁰ = 72526258221077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72526258222801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2443427590 + ... + 2443457271.

It is an arithmetic number, because the mean of its divisors is an integer number (4669418485641).

Almost surely, 2^{72526258222101} is an apocalyptic number.

It is an amenable number.

72526258222101 is a deficient number, since it is larger than the sum of its proper divisors (39539785433283).

72526258222101 is a wasteful number, since it uses less digits than its factorization.

72526258222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886884981 (or 4886884978 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 72526258222101 in words is "seventy-two trillion, five hundred twenty-six billion, two hundred fifty-eight million, two hundred twenty-two thousand, one hundred one".