72703033 has 16 divisors (see below), whose sum is σ = 84275856. Its totient is φ = 62115840.

The previous prime is 72703013. The next prime is 72703049. The reversal of 72703033 is 33030727.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 316969 + 72386064 = 563^2 + 8508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72703033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72702989 and 72703007.

It is not an unprimeable number, because it can be changed into a prime (72703003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10785 + ... + 16177.

It is an arithmetic number, because the mean of its divisors is an integer number (5267241).

Almost surely, 2^72703033 is an apocalyptic number.

72703033 is the 5393-rd heptagonal number.

It is an amenable number.

72703033 is a deficient number, since it is larger than the sum of its proper divisors (11572823).

72703033 is a wasteful number, since it uses less digits than its factorization.

72703033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484.

The product of its (nonzero) digits is 2646, while the sum is 25.

The square root of 72703033 is about 8526.6073558010. The cubic root of 72703033 is about 417.3664252908.

The spelling of 72703033 in words is "seventy-two million, seven hundred three thousand, thirty-three".