72961075337 has 8 divisors (see below), whose sum is σ = 77516570376. Its totient is φ = 68434876672.

The previous prime is 72961075333. The next prime is 72961075351. The reversal of 72961075337 is 73357016927.

It can be written as a sum of positive squares in 4 ways, for example, as 24181494016 + 48779581321 = 155504^2 + 220861^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72961075337 - 2² = 72961075333 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72961075331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7318958 + ... + 7328919.

It is an arithmetic number, because the mean of its divisors is an integer number (9689571297).

Almost surely, 2^72961075337 is an apocalyptic number.

It is an amenable number.

72961075337 is a deficient number, since it is larger than the sum of its proper divisors (4555495039).

72961075337 is a wasteful number, since it uses less digits than its factorization.

72961075337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14648187.

The product of its (nonzero) digits is 1666980, while the sum is 50.

The spelling of 72961075337 in words is "seventy-two billion, nine hundred sixty-one million, seventy-five thousand, three hundred thirty-seven".