72131753 has 2 divisors, whose sum is σ = 72131754. Its totient is φ = 72131752.

The previous prime is 72131737. The next prime is 72131777. The reversal of 72131753 is 35713127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72114064 + 17689 = 8492^2 + 133^2 .

It is a cyclic number.

It is not a de Polignac number, because 72131753 - 2⁴ = 72131737 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72131713) 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, 36065876 + 36065877.

It is an arithmetic number, because the mean of its divisors is an integer number (36065877).

Almost surely, 2^72131753 is an apocalyptic number.

It is an amenable number.

72131753 is a deficient number, since it is larger than the sum of its proper divisors (1).

72131753 is an equidigital number, since it uses as much as digits as its factorization.

72131753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4410, while the sum is 29.

The square root of 72131753 is about 8493.0414457955. The cubic root of 72131753 is about 416.2703667285.

The spelling of 72131753 in words is "seventy-two million, one hundred thirty-one thousand, seven hundred fifty-three".