72157100210501 has 16 divisors (see below), whose sum is σ = 72426096702000. Its totient is φ = 71888620339200.

The previous prime is 72157100210477. The next prime is 72157100210597. The reversal of 72157100210501 is 10501200175127.

It can be written as a sum of positive squares in 8 ways, for example, as 36378147844900 + 35778952365601 = 6031430^2 + 5981551^2 .

It is a cyclic number.

It is not a de Polignac number, because 72157100210501 - 2¹⁴ = 72157100194117 is a prime.

It is a super-2 number, since 2×72157100210501² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72157100210801) 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 15 ways as a sum of consecutive naturals, for example, 2248639265 + ... + 2248671353.

It is an arithmetic number, because the mean of its divisors is an integer number (4526631043875).

Almost surely, 2^{72157100210501} is an apocalyptic number.

It is an amenable number.

72157100210501 is a deficient number, since it is larger than the sum of its proper divisors (268996491499).

72157100210501 is a wasteful number, since it uses less digits than its factorization.

72157100210501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39880.

The product of its (nonzero) digits is 4900, while the sum is 32.

Adding to 72157100210501 its reverse (10501200175127), we get a palindrome (82658300385628).

The spelling of 72157100210501 in words is "seventy-two trillion, one hundred fifty-seven billion, one hundred million, two hundred ten thousand, five hundred one".