72123757 has 2 divisors, whose sum is σ = 72123758. Its totient is φ = 72123756.

The previous prime is 72123703. The next prime is 72123811. The reversal of 72123757 is 75732127.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (72123703) and next prime (72123811).

It can be written as a sum of positive squares in only one way, i.e., 69655716 + 2468041 = 8346^2 + 1571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72123757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72123157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36061878 + 36061879.

It is an arithmetic number, because the mean of its divisors is an integer number (36061879).

Almost surely, 2^72123757 is an apocalyptic number.

It is an amenable number.

72123757 is a deficient number, since it is larger than the sum of its proper divisors (1).

72123757 is an equidigital number, since it uses as much as digits as its factorization.

72123757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20580, while the sum is 34.

The square root of 72123757 is about 8492.5706944364. The cubic root of 72123757 is about 416.2549845946.

The spelling of 72123757 in words is "seventy-two million, one hundred twenty-three thousand, seven hundred fifty-seven".