72504636825601 has 4 divisors (see below), whose sum is σ = 72530614842304. Its totient is φ = 72478658808900.

The previous prime is 72504636825563. The next prime is 72504636825653. The reversal of 72504636825601 is 10652863640527.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72504636825601 is a prime.

It is a super-2 number, since 2×72504636825601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72504636825661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12989004165 + ... + 12989009746.

It is an arithmetic number, because the mean of its divisors is an integer number (18132653710576).

Almost surely, 2^{72504636825601} is an apocalyptic number.

It is an amenable number.

72504636825601 is a deficient number, since it is larger than the sum of its proper divisors (25978016703).

72504636825601 is a wasteful number, since it uses less digits than its factorization.

72504636825601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25978016702.

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 72504636825601 in words is "seventy-two trillion, five hundred four billion, six hundred thirty-six million, eight hundred twenty-five thousand, six hundred one".