72135473 has 2 divisors, whose sum is σ = 72135474. Its totient is φ = 72135472.

The previous prime is 72135463. The next prime is 72135493. The reversal of 72135473 is 37453127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53919649 + 18215824 = 7343^2 + 4268^2 .

It is a cyclic number.

It is not a de Polignac number, because 72135473 - 2⁶ = 72135409 is a prime.

It is not a weakly prime, because it can be changed into another prime (72135433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36067736 + 36067737.

It is an arithmetic number, because the mean of its divisors is an integer number (36067737).

Almost surely, 2^72135473 is an apocalyptic number.

It is an amenable number.

72135473 is a deficient number, since it is larger than the sum of its proper divisors (1).

72135473 is an equidigital number, since it uses as much as digits as its factorization.

72135473 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17640, while the sum is 32.

The square root of 72135473 is about 8493.2604457888. The cubic root of 72135473 is about 416.2775226115.

The spelling of 72135473 in words is "seventy-two million, one hundred thirty-five thousand, four hundred seventy-three".