72120563 has 2 divisors, whose sum is σ = 72120564. Its totient is φ = 72120562.

The previous prime is 72120547. The next prime is 72120577. The reversal of 72120563 is 36502127.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72120563 - 2⁴ = 72120547 is a prime.

It is equal to p_4235381 and since 72120563 and 4235381 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72120533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36060281 + 36060282.

It is an arithmetic number, because the mean of its divisors is an integer number (36060282).

Almost surely, 2^72120563 is an apocalyptic number.

72120563 is a deficient number, since it is larger than the sum of its proper divisors (1).

72120563 is an equidigital number, since it uses as much as digits as its factorization.

72120563 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 72120563 is about 8492.3826456419. The cubic root of 72120563 is about 416.2488398877.

The spelling of 72120563 in words is "seventy-two million, one hundred twenty thousand, five hundred sixty-three".