72080753 has 2 divisors, whose sum is σ = 72080754. Its totient is φ = 72080752.

The previous prime is 72080683. The next prime is 72080759. The reversal of 72080753 is 35708027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60575089 + 11505664 = 7783^2 + 3392^2 .

It is a cyclic number.

It is not a de Polignac number, because 72080753 - 2²⁰ = 71032177 is a prime.

It is a super-3 number, since 3×72080753³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (72080759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36040376 + 36040377.

It is an arithmetic number, because the mean of its divisors is an integer number (36040377).

Almost surely, 2^72080753 is an apocalyptic number.

It is an amenable number.

72080753 is a deficient number, since it is larger than the sum of its proper divisors (1).

72080753 is an equidigital number, since it uses as much as digits as its factorization.

72080753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 72080753 is about 8490.0384569211. The cubic root of 72080753 is about 416.1722370643.

The spelling of 72080753 in words is "seventy-two million, eighty thousand, seven hundred fifty-three".