72703733 has 2 divisors, whose sum is σ = 72703734. Its totient is φ = 72703732.

The previous prime is 72703723. The next prime is 72703751. The reversal of 72703733 is 33730727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48121969 + 24581764 = 6937^2 + 4958^2 .

It is an emirp because it is prime and its reverse (33730727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72703733 - 2¹⁰ = 72702709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72703733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72703703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36351866 + 36351867.

It is an arithmetic number, because the mean of its divisors is an integer number (36351867).

Almost surely, 2^72703733 is an apocalyptic number.

It is an amenable number.

72703733 is a deficient number, since it is larger than the sum of its proper divisors (1).

72703733 is an equidigital number, since it uses as much as digits as its factorization.

72703733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18522, while the sum is 32.

The square root of 72703733 is about 8526.6484036812. The cubic root of 72703733 is about 417.3677647835.

The spelling of 72703733 in words is "seventy-two million, seven hundred three thousand, seven hundred thirty-three".