72072563 has 2 divisors, whose sum is σ = 72072564. Its totient is φ = 72072562.

The previous prime is 72072541. The next prime is 72072607. The reversal of 72072563 is 36527027.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (36527027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72072563 - 2⁸ = 72072307 is a prime.

It is not a weakly prime, because it can be changed into another prime (72072863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36036281 + 36036282.

It is an arithmetic number, because the mean of its divisors is an integer number (36036282).

Almost surely, 2^72072563 is an apocalyptic number.

72072563 is a deficient number, since it is larger than the sum of its proper divisors (1).

72072563 is an equidigital number, since it uses as much as digits as its factorization.

72072563 is an evil number, because the sum of its binary digits is even.

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

The square root of 72072563 is about 8489.5561132488. The cubic root of 72072563 is about 416.1564742817.

It can be divided in two parts, 72072 and 563, that multiplied together give a triangular number (40576536 = T₉₀₀₈).

The spelling of 72072563 in words is "seventy-two million, seventy-two thousand, five hundred sixty-three".