72814033 has 4 divisors (see below), whose sum is σ = 72844708. Its totient is φ = 72783360.

The previous prime is 72814019. The next prime is 72814037. The reversal of 72814033 is 33041827.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 30603024 + 42211009 = 5532^2 + 6497^2 .

It is a cyclic number.

It is not a de Polignac number, because 72814033 - 2¹³ = 72805841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72813992 and 72814010.

It is not an unprimeable number, because it can be changed into a prime (72814037) 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 3 ways as a sum of consecutive naturals, for example, 11448 + ... + 16633.

It is an arithmetic number, because the mean of its divisors is an integer number (18211177).

Almost surely, 2^72814033 is an apocalyptic number.

It is an amenable number.

72814033 is a deficient number, since it is larger than the sum of its proper divisors (30675).

72814033 is a wasteful number, since it uses less digits than its factorization.

72814033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30674.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72814033 is about 8533.1139099393. The cubic root of 72814033 is about 417.5787232478.

The spelling of 72814033 in words is "seventy-two million, eight hundred fourteen thousand, thirty-three".