72510101 has 2 divisors, whose sum is σ = 72510102. Its totient is φ = 72510100.

The previous prime is 72510091. The next prime is 72510107. The reversal of 72510101 is 10101527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52215076 + 20295025 = 7226^2 + 4505^2 .

It is an emirp because it is prime and its reverse (10101527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72510101 - 2⁶ = 72510037 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72510101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72510107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36255050 + 36255051.

It is an arithmetic number, because the mean of its divisors is an integer number (36255051).

Almost surely, 2^72510101 is an apocalyptic number.

It is an amenable number.

72510101 is a deficient number, since it is larger than the sum of its proper divisors (1).

72510101 is an equidigital number, since it uses as much as digits as its factorization.

72510101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 72510101 is about 8515.2863134483. The cubic root of 72510101 is about 416.9969098832.

Adding to 72510101 its reverse (10101527), we get a palindrome (82611628).

The spelling of 72510101 in words is "seventy-two million, five hundred ten thousand, one hundred one".