72135253 has 2 divisors, whose sum is σ = 72135254. Its totient is φ = 72135252.

The previous prime is 72135251. The next prime is 72135269. The reversal of 72135253 is 35253127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49028004 + 23107249 = 7002^2 + 4807^2 .

It is a cyclic number.

It is not a de Polignac number, because 72135253 - 2¹ = 72135251 is a prime.

Together with 72135251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72135251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36067626 + 36067627.

It is an arithmetic number, because the mean of its divisors is an integer number (36067627).

Almost surely, 2^72135253 is an apocalyptic number.

It is an amenable number.

72135253 is a deficient number, since it is larger than the sum of its proper divisors (1).

72135253 is an equidigital number, since it uses as much as digits as its factorization.

72135253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6300, while the sum is 28.

The square root of 72135253 is about 8493.2474943334. The cubic root of 72135253 is about 416.2770994210.

The spelling of 72135253 in words is "seventy-two million, one hundred thirty-five thousand, two hundred fifty-three".