72006328537 has 32 divisors (see below), whose sum is σ = 84967061760. Its totient is φ = 60159697920.

The previous prime is 72006328529. The next prime is 72006328567. The reversal of 72006328537 is 73582360027.

It is a cyclic number.

It is not a de Polignac number, because 72006328537 - 2³ = 72006328529 is a prime.

It is a super-2 number, since 2×72006328537² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72006328493 and 72006328502.

It is not an unprimeable number, because it can be changed into a prime (72006328517) 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 31 ways as a sum of consecutive naturals, for example, 43455013 + ... + 43456669.

It is an arithmetic number, because the mean of its divisors is an integer number (2655220680).

Almost surely, 2^72006328537 is an apocalyptic number.

It is an amenable number.

72006328537 is a deficient number, since it is larger than the sum of its proper divisors (12960733223).

72006328537 is a wasteful number, since it uses less digits than its factorization.

72006328537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 72006328537 in words is "seventy-two billion, six million, three hundred twenty-eight thousand, five hundred thirty-seven".