72809936337 has 4 divisors (see below), whose sum is σ = 97079915120. Its totient is φ = 48539957556.

The previous prime is 72809936321. The next prime is 72809936383. The reversal of 72809936337 is 73363990827.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 73363990827 = 3 ⋅24454663609.

It is not a de Polignac number, because 72809936337 - 2⁴ = 72809936321 is a prime.

It is a super-3 number, since 3×72809936337³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72809936237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12134989387 + ... + 12134989392.

It is an arithmetic number, because the mean of its divisors is an integer number (24269978780).

Almost surely, 2^72809936337 is an apocalyptic number.

It is an amenable number.

72809936337 is a deficient number, since it is larger than the sum of its proper divisors (24269978783).

72809936337 is a wasteful number, since it uses less digits than its factorization.

72809936337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24269978782.

The product of its (nonzero) digits is 10287648, while the sum is 57.

The spelling of 72809936337 in words is "seventy-two billion, eight hundred nine million, nine hundred thirty-six thousand, three hundred thirty-seven".