72072509 has 2 divisors, whose sum is σ = 72072510. Its totient is φ = 72072508.

The previous prime is 72072487. The next prime is 72072541. The reversal of 72072509 is 90527027.

It is an a-pointer prime, because the next prime (72072541) can be obtained adding 72072509 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71995225 + 77284 = 8485^2 + 278^2 .

It is an emirp because it is prime and its reverse (90527027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72072509 - 2¹² = 72068413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72032509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36036254 + 36036255.

It is an arithmetic number, because the mean of its divisors is an integer number (36036255).

Almost surely, 2^72072509 is an apocalyptic number.

It is an amenable number.

72072509 is a deficient number, since it is larger than the sum of its proper divisors (1).

72072509 is an equidigital number, since it uses as much as digits as its factorization.

72072509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 72072509 is about 8489.5529328699. The cubic root of 72072509 is about 416.1563703473.

The spelling of 72072509 in words is "seventy-two million, seventy-two thousand, five hundred nine".