72067753 has 2 divisors, whose sum is σ = 72067754. Its totient is φ = 72067752.

The previous prime is 72067739. The next prime is 72067759. The reversal of 72067753 is 35776027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72046144 + 21609 = 8488^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 72067753 - 2⁹ = 72067241 is a prime.

It is a super-2 number, since 2×72067753² = 10387522044938018, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72067759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36033876 + 36033877.

It is an arithmetic number, because the mean of its divisors is an integer number (36033877).

Almost surely, 2^72067753 is an apocalyptic number.

It is an amenable number.

72067753 is a deficient number, since it is larger than the sum of its proper divisors (1).

72067753 is an equidigital number, since it uses as much as digits as its factorization.

72067753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61740, while the sum is 37.

The square root of 72067753 is about 8489.2728192702. The cubic root of 72067753 is about 416.1472162178.

The spelling of 72067753 in words is "seventy-two million, sixty-seven thousand, seven hundred fifty-three".