72086633 has 2 divisors, whose sum is σ = 72086634. Its totient is φ = 72086632.

The previous prime is 72086611. The next prime is 72086639. The reversal of 72086633 is 33668027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41306329 + 30780304 = 6427^2 + 5548^2 .

It is a cyclic number.

It is not a de Polignac number, because 72086633 - 2¹⁶ = 72021097 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72086593 and 72086602.

It is not a weakly prime, because it can be changed into another prime (72086639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36043316 + 36043317.

It is an arithmetic number, because the mean of its divisors is an integer number (36043317).

Almost surely, 2^72086633 is an apocalyptic number.

It is an amenable number.

72086633 is a deficient number, since it is larger than the sum of its proper divisors (1).

72086633 is an equidigital number, since it uses as much as digits as its factorization.

72086633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 72086633 is about 8490.3847380434. The cubic root of 72086633 is about 416.1835531976.

The spelling of 72086633 in words is "seventy-two million, eighty-six thousand, six hundred thirty-three".