72587101 has 2 divisors, whose sum is σ = 72587102. Its totient is φ = 72587100.

The previous prime is 72587071. The next prime is 72587111. The reversal of 72587101 is 10178527.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62821476 + 9765625 = 7926^2 + 3125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72587101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72587111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36293550 + 36293551.

It is an arithmetic number, because the mean of its divisors is an integer number (36293551).

Almost surely, 2^72587101 is an apocalyptic number.

It is an amenable number.

72587101 is a deficient number, since it is larger than the sum of its proper divisors (1).

72587101 is an equidigital number, since it uses as much as digits as its factorization.

72587101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 72587101 is about 8519.8063945139. The cubic root of 72587101 is about 417.1444635926.

The spelling of 72587101 in words is "seventy-two million, five hundred eighty-seven thousand, one hundred one".