72135827 has 2 divisors, whose sum is σ = 72135828. Its totient is φ = 72135826.

The previous prime is 72135781. The next prime is 72135839. The reversal of 72135827 is 72853127.

It is a strong prime.

It is an emirp because it is prime and its reverse (72853127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72135827 - 2¹⁶ = 72070291 is a prime.

It is not a weakly prime, because it can be changed into another prime (72135887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36067913 + 36067914.

It is an arithmetic number, because the mean of its divisors is an integer number (36067914).

Almost surely, 2^72135827 is an apocalyptic number.

72135827 is a deficient number, since it is larger than the sum of its proper divisors (1).

72135827 is an equidigital number, since it uses as much as digits as its factorization.

72135827 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23520, while the sum is 35.

The square root of 72135827 is about 8493.2812858165. The cubic root of 72135827 is about 416.2782035617.

The spelling of 72135827 in words is "seventy-two million, one hundred thirty-five thousand, eight hundred twenty-seven".