72689753 has 2 divisors, whose sum is σ = 72689754. Its totient is φ = 72689752.

The previous prime is 72689741. The next prime is 72689759. The reversal of 72689753 is 35798627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71453209 + 1236544 = 8453^2 + 1112^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72689753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72689698 and 72689707.

It is not a weakly prime, because it can be changed into another prime (72689759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36344876 + 36344877.

It is an arithmetic number, because the mean of its divisors is an integer number (36344877).

Almost surely, 2^72689753 is an apocalyptic number.

It is an amenable number.

72689753 is a deficient number, since it is larger than the sum of its proper divisors (1).

72689753 is an equidigital number, since it uses as much as digits as its factorization.

72689753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 635040, while the sum is 47.

The square root of 72689753 is about 8525.8285814342. The cubic root of 72689753 is about 417.3410115705.

The spelling of 72689753 in words is "seventy-two million, six hundred eighty-nine thousand, seven hundred fifty-three".