72712909 has 2 divisors, whose sum is σ = 72712910. Its totient is φ = 72712908.

The previous prime is 72712883. The next prime is 72712951. The reversal of 72712909 is 90921727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70610409 + 2102500 = 8403^2 + 1450^2 .

It is a cyclic number.

It is not a de Polignac number, because 72712909 - 2⁵ = 72712877 is a prime.

It is a super-3 number, since 3×72712909³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72712999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36356454 + 36356455.

It is an arithmetic number, because the mean of its divisors is an integer number (36356455).

Almost surely, 2^72712909 is an apocalyptic number.

It is an amenable number.

72712909 is a deficient number, since it is larger than the sum of its proper divisors (1).

72712909 is an equidigital number, since it uses as much as digits as its factorization.

72712909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 72712909 is about 8527.1864644794. The cubic root of 72712909 is about 417.3853228251.

The spelling of 72712909 in words is "seventy-two million, seven hundred twelve thousand, nine hundred nine".