72416737 has 2 divisors, whose sum is σ = 72416738. Its totient is φ = 72416736.

The previous prime is 72416723. The next prime is 72416759. The reversal of 72416737 is 73761427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 26122321 = 6804^2 + 5111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72416737 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72416696 and 72416705.

It is not a weakly prime, because it can be changed into another prime (72416717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36208368 + 36208369.

It is an arithmetic number, because the mean of its divisors is an integer number (36208369).

Almost surely, 2^72416737 is an apocalyptic number.

It is an amenable number.

72416737 is a deficient number, since it is larger than the sum of its proper divisors (1).

72416737 is an equidigital number, since it uses as much as digits as its factorization.

72416737 is an evil number, because the sum of its binary digits is even.

The product of its digits is 49392, while the sum is 37.

The square root of 72416737 is about 8509.8024066367. The cubic root of 72416737 is about 416.8178579500.

It can be divided in two parts, 72416 and 737, that added together give a triangular number (73153 = T₃₈₂).

The spelling of 72416737 in words is "seventy-two million, four hundred sixteen thousand, seven hundred thirty-seven".