72802593 has 12 divisors (see below), whose sum is σ = 107724708. Its totient is φ = 47351040.

The previous prime is 72802573. The next prime is 72802607. The reversal of 72802593 is 39520827.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3196944 + 69605649 = 1788^2 + 8343^2 .

It is not a de Polignac number, because 72802593 - 2¹⁰ = 72801569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72802553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98280 + ... + 99017.

It is an arithmetic number, because the mean of its divisors is an integer number (8977059).

Almost surely, 2^72802593 is an apocalyptic number.

It is an amenable number.

72802593 is a deficient number, since it is larger than the sum of its proper divisors (34922115).

72802593 is a wasteful number, since it uses less digits than its factorization.

72802593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197344 (or 197341 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72802593 is about 8532.4435538713. The cubic root of 72802593 is about 417.5568531467.

The spelling of 72802593 in words is "seventy-two million, eight hundred two thousand, five hundred ninety-three".