72583673737 has 8 divisors (see below), whose sum is σ = 73267651872. Its totient is φ = 71899800000.

The previous prime is 72583673711. The next prime is 72583673741. The reversal of 72583673737 is 73737638527.

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 72583673737 - 2¹⁹ = 72583149449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72583673777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2751862 + ... + 2778112.

It is an arithmetic number, because the mean of its divisors is an integer number (9158456484).

Almost surely, 2^72583673737 is an apocalyptic number.

It is an amenable number.

72583673737 is a deficient number, since it is larger than the sum of its proper divisors (683978135).

72583673737 is a wasteful number, since it uses less digits than its factorization.

72583673737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52199.

The product of its digits is 31116960, while the sum is 58.

The spelling of 72583673737 in words is "seventy-two billion, five hundred eighty-three million, six hundred seventy-three thousand, seven hundred thirty-seven".