72613025654527 has 16 divisors (see below), whose sum is σ = 75201998942880. Its totient is φ = 70029734544000.

The previous prime is 72613025654467. The next prime is 72613025654557. The reversal of 72613025654527 is 72545652031627.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72613025654527 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613025654557) 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 15 ways as a sum of consecutive naturals, for example, 426796777 + ... + 426966877.

It is an arithmetic number, because the mean of its divisors is an integer number (4700124933930).

Almost surely, 2^{72613025654527} is an apocalyptic number.

72613025654527 is a deficient number, since it is larger than the sum of its proper divisors (2588973288353).

72613025654527 is a wasteful number, since it uses less digits than its factorization.

72613025654527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186714.

The product of its (nonzero) digits is 21168000, while the sum is 55.

The spelling of 72613025654527 in words is "seventy-two trillion, six hundred thirteen billion, twenty-five million, six hundred fifty-four thousand, five hundred twenty-seven".